87055920 has 240 divisors, whose sum is σ = 349120512. Its totient is φ = 19008000.

The previous prime is 87055907. The next prime is 87055939. The reversal of 87055920 is 2955078.

87055920 is a `hidden beast` number, since 87 + 0 + 559 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115545 + ... + 116295.

Almost surely, 2^87055920 is an apocalyptic number.

87055920 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 87055920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174560256).

87055920 is an abundant number, since it is smaller than the sum of its proper divisors (262064592).

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

87055920 is a wasteful number, since it uses less digits than its factorization.

87055920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 87055920 is about 9330.3761982034. The cubic root of 87055920 is about 443.1996783048.

The spelling of 87055920 in words is "eighty-seven million, fifty-five thousand, nine hundred twenty".