87910240 has 96 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 31680000.

The previous prime is 87910219. The next prime is 87910241. The reversal of 87910240 is 4201978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87910241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350115 + ... + 350365.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^87910240 is an apocalyptic number.

87910240 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 87910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

87910240 is an abundant number, since it is smaller than the sum of its proper divisors (140704160).

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

87910240 is a wasteful number, since it uses less digits than its factorization.

87910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 87910240 is about 9376.0460749721. The cubic root of 87910240 is about 444.6447360201.

The spelling of 87910240 in words is "eighty-seven million, nine hundred ten thousand, two hundred forty".