36792846 has 48 divisors (see below), whose sum is σ = 84603600. Its totient is φ = 11851920.

The previous prime is 36792827. The next prime is 36792859. The reversal of 36792846 is 64829763.

36792846 is a `hidden beast` number, since 367 + 9 + 284 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51540 + ... + 52248.

It is an arithmetic number, because the mean of its divisors is an integer number (1762575).

Almost surely, 2^36792846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36792846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301800).

36792846 is an abundant number, since it is smaller than the sum of its proper divisors (47810754).

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

36792846 is a wasteful number, since it uses less digits than its factorization.

36792846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 745 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 36792846 is about 6065.7106755928. The cubic root of 36792846 is about 332.5991443089.

The spelling of 36792846 in words is "thirty-six million, seven hundred ninety-two thousand, eight hundred forty-six".