36900864 has 312 divisors, whose sum is σ = 143113152. Its totient is φ = 8847360.

The previous prime is 36900839. The next prime is 36900937. The reversal of 36900864 is 46800963.

36900864 = 133² + 134² + ... + 483².

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838522 + ... + 2838534.

It is an arithmetic number, because the mean of its divisors is an integer number (458696).

Almost surely, 2^36900864 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 36900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71556576).

36900864 is an abundant number, since it is smaller than the sum of its proper divisors (106212288).

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

36900864 is a wasteful number, since it uses less digits than its factorization.

36900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36900864 is about 6074.6081355096. The cubic root of 36900864 is about 332.9243125335.

Subtracting 36900864 from its reverse (46800963), we obtain a palindrome (9900099).

The spelling of 36900864 in words is "thirty-six million, nine hundred thousand, eight hundred sixty-four".