36792820 has 24 divisors (see below), whose sum is σ = 77380128. Its totient is φ = 14695200.

The previous prime is 36792817. The next prime is 36792823. The reversal of 36792820 is 2829763.

36792820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36792817) and next prime (36792823).

It is a self number, because there is not a number n which added to its sum of digits gives 36792820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36792823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22635 + ... + 24205.

It is an arithmetic number, because the mean of its divisors is an integer number (3224172).

Almost surely, 2^36792820 is an apocalyptic number.

It is an amenable number.

36792820 is an abundant number, since it is smaller than the sum of its proper divisors (40587308).

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

36792820 is a wasteful number, since it uses less digits than its factorization.

36792820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 36792820 is about 6065.7085323975. The cubic root of 36792820 is about 332.5990659642.

The spelling of 36792820 in words is "thirty-six million, seven hundred ninety-two thousand, eight hundred twenty".