87538320 has 280 divisors, whose sum is σ = 325276800. Its totient is φ = 21835008.

The previous prime is 87538313. The next prime is 87538331. The reversal of 87538320 is 2383578.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1108041 + ... + 1108119.

Almost surely, 2^87538320 is an apocalyptic number.

87538320 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 87538320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162638400).

87538320 is an abundant number, since it is smaller than the sum of its proper divisors (237738480).

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

87538320 is a wasteful number, since it uses less digits than its factorization.

87538320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87538320 is about 9356.1915328835. The cubic root of 87538320 is about 444.0167999487.

The spelling of 87538320 in words is "eighty-seven million, five hundred thirty-eight thousand, three hundred twenty".