36468792 has 80 divisors (see below), whose sum is σ = 103062960. Its totient is φ = 12047616.

The previous prime is 36468781. The next prime is 36468797. The reversal of 36468792 is 29786463.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36468797) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 108048 + ... + 108384.

It is an arithmetic number, because the mean of its divisors is an integer number (1288287).

Almost surely, 2^36468792 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 36468792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51531480).

36468792 is an abundant number, since it is smaller than the sum of its proper divisors (66594168).

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

36468792 is a wasteful number, since it uses less digits than its factorization.

36468792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

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

The square root of 36468792 is about 6038.9396420233. The cubic root of 36468792 is about 331.6198047756.

The spelling of 36468792 in words is "thirty-six million, four hundred sixty-eight thousand, seven hundred ninety-two".