83700864 has 256 divisors, whose sum is σ = 281030400. Its totient is φ = 24634368.

The previous prime is 83700853. The next prime is 83700913. The reversal of 83700864 is 46800738.

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 31 ways as a sum of consecutive naturals, for example, 3639157 + ... + 3639179.

It is an arithmetic number, because the mean of its divisors is an integer number (1097775).

Almost surely, 2^83700864 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 83700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140515200).

83700864 is an abundant number, since it is smaller than the sum of its proper divisors (197329536).

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

83700864 is an equidigital number, since it uses as much as digits as its factorization.

83700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83700864 is about 9148.8176285245. The cubic root of 83700864 is about 437.4314258780.

The spelling of 83700864 in words is "eighty-three million, seven hundred thousand, eight hundred sixty-four".