87907248 has 160 divisors (see below), whose sum is σ = 296647680. Its totient is φ = 24572160.

The previous prime is 87907247. The next prime is 87907273. The reversal of 87907248 is 84270978.

It is not an unprimeable number, because it can be changed into a prime (87907247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61065 + ... + 62487.

It is an arithmetic number, because the mean of its divisors is an integer number (1854048).

Almost surely, 2^87907248 is an apocalyptic number.

87907248 is a gapful number since it is divisible by the number (88) 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 87907248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148323840).

87907248 is an abundant number, since it is smaller than the sum of its proper divisors (208740432).

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

87907248 is a wasteful number, since it uses less digits than its factorization.

87907248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87907248 is about 9375.8865180846. The cubic root of 87907248 is about 444.6396915105.

The spelling of 87907248 in words is "eighty-seven million, nine hundred seven thousand, two hundred forty-eight".