36257920 has 64 divisors (see below), whose sum is σ = 87436440. Its totient is φ = 14376960.

The previous prime is 36257911. The next prime is 36257927. The reversal of 36257920 is 2975263.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 30382144 = 2424^2 + 5512^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (36257927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115684 + ... + 115996.

Almost surely, 2^36257920 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 36257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43718220).

36257920 is an abundant number, since it is smaller than the sum of its proper divisors (51178520).

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

36257920 is a wasteful number, since it uses less digits than its factorization.

36257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 36257920 is about 6021.4549736754. The cubic root of 36257920 is about 330.9793983216.

The spelling of 36257920 in words is "thirty-six million, two hundred fifty-seven thousand, nine hundred twenty".