37620864 has 144 divisors (see below), whose sum is σ = 116018370. Its totient is φ = 11698176.

The previous prime is 37620857. The next prime is 37620871. The reversal of 37620864 is 46802673.

It is an interprime number because it is at equal distance from previous prime (37620857) and next prime (37620871).

It can be written as a sum of positive squares in 3 ways, for example, as 31270464 + 6350400 = 5592^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 332872 + ... + 332984.

Almost surely, 2^37620864 is an apocalyptic number.

37620864 is a gapful number since it is divisible by the number (34) 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 37620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58009185).

37620864 is an abundant number, since it is smaller than the sum of its proper divisors (78397506).

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

37620864 is a wasteful number, since it uses less digits than its factorization.

37620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 37620864 is about 6133.5849223761. The cubic root of 37620864 is about 335.0756909239.

The spelling of 37620864 in words is "thirty-seven million, six hundred twenty thousand, eight hundred sixty-four".