87900840 has 192 divisors, whose sum is σ = 306633600. Its totient is φ = 21772800.

The previous prime is 87900823. The next prime is 87900853. The reversal of 87900840 is 4800978.

87900840 = 218² + 219² + ... + 649².

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

It is a junction number, because it is equal to n+sod(n) for n = 87900795 and 87900804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485550 + ... + 485730.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^87900840 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 87900840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

87900840 is an abundant number, since it is smaller than the sum of its proper divisors (218732760).

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

87900840 is a wasteful number, since it uses less digits than its factorization.

87900840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87900840 is about 9375.5447841712. The cubic root of 87900840 is about 444.6288872426.

The spelling of 87900840 in words is "eighty-seven million, nine hundred thousand, eight hundred forty".