87426864 has 200 divisors, whose sum is σ = 302480640. Its totient is φ = 23836032.

The previous prime is 87426853. The next prime is 87426881. The reversal of 87426864 is 46862478.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208447 + ... + 208865.

Almost surely, 2^87426864 is an apocalyptic number.

87426864 is a gapful number since it is divisible by the number (84) 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 87426864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

87426864 is an abundant number, since it is smaller than the sum of its proper divisors (215053776).

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

87426864 is a wasteful number, since it uses less digits than its factorization.

87426864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 87426864 is about 9350.2333660717. The cubic root of 87426864 is about 443.8282754465.

The spelling of 87426864 in words is "eighty-seven million, four hundred twenty-six thousand, eight hundred sixty-four".