87070464 has 360 divisors, whose sum is σ = 311628240. Its totient is φ = 23887872.

The previous prime is 87070457. The next prime is 87070471. The reversal of 87070464 is 46407078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87070457) and next prime (87070471).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4582647 + ... + 4582665.

It is an arithmetic number, because the mean of its divisors is an integer number (865634).

Almost surely, 2^87070464 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 87070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155814120).

87070464 is an abundant number, since it is smaller than the sum of its proper divisors (224557776).

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

87070464 is a wasteful number, since it uses less digits than its factorization.

87070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87070464 is about 9331.1555554497. The cubic root of 87070464 is about 443.2243579865.

The spelling of 87070464 in words is "eighty-seven million, seventy thousand, four hundred sixty-four".