87120000 has 360 divisors, whose sum is σ = 344338995. Its totient is φ = 21120000.

The previous prime is 87119987. The next prime is 87120029. The reversal of 87120000 is 2178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 20142144 + 66977856 = 4488^2 + 8184^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6600.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7919995 + ... + 7920005.

Almost surely, 2^87120000 is an apocalyptic number.

87120000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87120000

87120000 is an abundant number, since it is smaller than the sum of its proper divisors (257218995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87120000 is a wasteful number, since it uses less digits than its factorization.

87120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 87120000 is about 9333.8095116624. The cubic root of 87120000 is about 443.3083949012.

Multiplying 87120000 by its sum of digits (18), we get a square (1568160000 = 39600²).

87120000 divided by its sum of digits (18) gives a square (4840000 = 2200²).

Adding to 87120000 its reverse (2178), we get a palindrome (87122178).

Multiplying 87120000 by its reverse (2178), we get a 4-th power (189747360000 = 660⁴).

87120000 divided by its reverse (2178) gives a square (40000 = 200²).

The spelling of 87120000 in words is "eighty-seven million, one hundred twenty thousand".