87333120 has 432 divisors, whose sum is σ = 373806720. Its totient is φ = 18911232.

The previous prime is 87333109. The next prime is 87333143. The reversal of 87333120 is 2133378.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4596471 + ... + 4596489.

Almost surely, 2^87333120 is an apocalyptic number.

87333120 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 87333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186903360).

87333120 is an abundant number, since it is smaller than the sum of its proper divisors (286473600).

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

87333120 is a wasteful number, since it uses less digits than its factorization.

87333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 87333120 is about 9345.2190985552. The cubic root of 87333120 is about 443.6695861693.

Adding to 87333120 its reverse (2133378), we get a palindrome (89466498).

The spelling of 87333120 in words is "eighty-seven million, three hundred thirty-three thousand, one hundred twenty".