87464916 has 144 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 22455360.

The previous prime is 87464891. The next prime is 87464939. The reversal of 87464916 is 61946478.

It is a super-2 number, since 2×87464916² = 15300223061774112, which contains 22 as substring.

It is a congruent number.

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, 385195 + ... + 385421.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2^87464916 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 87464916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

87464916 is an abundant number, since it is smaller than the sum of its proper divisors (191388204).

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

87464916 is a wasteful number, since it uses less digits than its factorization.

87464916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 87464916 is about 9352.2679602330. The cubic root of 87464916 is about 443.8926572744.

The spelling of 87464916 in words is "eighty-seven million, four hundred sixty-four thousand, nine hundred sixteen".