36993264 has 80 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 9607680.

The previous prime is 36993211. The next prime is 36993283. The reversal of 36993264 is 46239963.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309 + ... + 8700.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^36993264 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 36993264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

36993264 is an abundant number, since it is smaller than the sum of its proper divisors (82165776).

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

36993264 is a wasteful number, since it uses less digits than its factorization.

36993264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10032 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 36993264 is about 6082.2088093060. The cubic root of 36993264 is about 333.2019624541.

The spelling of 36993264 in words is "thirty-six million, nine hundred ninety-three thousand, two hundred sixty-four".