87120720 has 60 divisors (see below), whose sum is σ = 292582836. Its totient is φ = 23232000.

The previous prime is 87120697. The next prime is 87120721. The reversal of 87120720 is 2702178.

It can be written as a sum of positive squares in 2 ways, for example, as 39841344 + 47279376 = 6312^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87120721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59781 + ... + 61220.

Almost surely, 2^87120720 is an apocalyptic number.

87120720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87120720 is an abundant number, since it is smaller than the sum of its proper divisors (205462116).

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

87120720 is a wasteful number, since it uses less digits than its factorization.

87120720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121020 (or 121011 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 87120720 is about 9333.8480810435. The cubic root of 87120720 is about 443.3096161331.

Adding to 87120720 its reverse (2702178), we get a palindrome (89822898).

It can be divided in two parts, 87120 and 720, that multiplied together give a square (62726400 = 7920²).

The spelling of 87120720 in words is "eighty-seven million, one hundred twenty thousand, seven hundred twenty".