87472896 has 144 divisors (see below), whose sum is σ = 271966464. Its totient is φ = 24440832.

The previous prime is 87472877. The next prime is 87472897. The reversal of 87472896 is 69827478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87472897) 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, 284775 + ... + 285081.

It is an arithmetic number, because the mean of its divisors is an integer number (1888656).

Almost surely, 2^87472896 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 87472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983232).

87472896 is an abundant number, since it is smaller than the sum of its proper divisors (184493568).

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

87472896 is a wasteful number, since it uses less digits than its factorization.

87472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 87472896 is about 9352.6945849846. The cubic root of 87472896 is about 443.9061566135.

The spelling of 87472896 in words is "eighty-seven million, four hundred seventy-two thousand, eight hundred ninety-six".