87925360 has 60 divisors (see below), whose sum is σ = 217216008. Its totient is φ = 33092608.

The previous prime is 87925307. The next prime is 87925363. The reversal of 87925360 is 6352978.

It is a super-2 number, since 2×87925360² = 15461737862259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87925363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21219 + ... + 25021.

Almost surely, 2^87925360 is an apocalyptic number.

87925360 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 87925360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108608004).

87925360 is an abundant number, since it is smaller than the sum of its proper divisors (129290648).

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

87925360 is a wasteful number, since it uses less digits than its factorization.

87925360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 87925360 is about 9376.8523503359. The cubic root of 87925360 is about 444.6702265773.

The spelling of 87925360 in words is "eighty-seven million, nine hundred twenty-five thousand, three hundred sixty".