87444864 has 96 divisors (see below), whose sum is σ = 271034400. Its totient is φ = 26901504.

The previous prime is 87444857. The next prime is 87444871. The reversal of 87444864 is 46844478.

It is an interprime number because it is at equal distance from previous prime (87444857) and next prime (87444871).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 12057 + ... + 17895.

It is an arithmetic number, because the mean of its divisors is an integer number (2823275).

Almost surely, 2^87444864 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 87444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135517200).

87444864 is an abundant number, since it is smaller than the sum of its proper divisors (183589536).

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

87444864 is a wasteful number, since it uses less digits than its factorization.

87444864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5857 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 87444864 is about 9351.1958593540. The cubic root of 87444864 is about 443.8587327545.

The spelling of 87444864 in words is "eighty-seven million, four hundred forty-four thousand, eight hundred sixty-four".