87457792 has 64 divisors (see below), whose sum is σ = 186381540. Its totient is φ = 40894464.

The previous prime is 87457781. The next prime is 87457793. The reversal of 87457792 is 29775478.

It can be written as a sum of positive squares in 2 ways, for example, as 87310336 + 147456 = 9344^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (87457793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 556978 + ... + 557134.

Almost surely, 2^87457792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93190770).

87457792 is an abundant number, since it is smaller than the sum of its proper divisors (98923748).

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

87457792 is an equidigital number, since it uses as much as digits as its factorization.

87457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its digits is 987840, while the sum is 49.

The square root of 87457792 is about 9351.8870822952. The cubic root of 87457792 is about 443.8806052910.

The spelling of 87457792 in words is "eighty-seven million, four hundred fifty-seven thousand, seven hundred ninety-two".