36865920 has 256 divisors, whose sum is σ = 145313280. Its totient is φ = 7741440.

The previous prime is 36865891. The next prime is 36865943. The reversal of 36865920 is 2956863.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 174615 + ... + 174825.

It is an arithmetic number, because the mean of its divisors is an integer number (567630).

Almost surely, 2^36865920 is an apocalyptic number.

36865920 is a gapful number since it is divisible by the number (30) 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 36865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72656640).

36865920 is an abundant number, since it is smaller than the sum of its proper divisors (108447360).

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

36865920 is a wasteful number, since it uses less digits than its factorization.

36865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 36865920 is about 6071.7312193476. The cubic root of 36865920 is about 332.8191895986.

The spelling of 36865920 in words is "thirty-six million, eight hundred sixty-five thousand, nine hundred twenty".