36768496 has 40 divisors (see below), whose sum is σ = 75987200. Its totient is φ = 17184960.

The previous prime is 36768493. The next prime is 36768497. The reversal of 36768496 is 69486763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36768493) 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, 23251 + ... + 24781.

It is an arithmetic number, because the mean of its divisors is an integer number (1899680).

Almost surely, 2^36768496 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 36768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37993600).

36768496 is an abundant number, since it is smaller than the sum of its proper divisors (39218704).

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

36768496 is a wasteful number, since it uses less digits than its factorization.

36768496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The square root of 36768496 is about 6063.7031589615. The cubic root of 36768496 is about 332.5257552552.

The spelling of 36768496 in words is "thirty-six million, seven hundred sixty-eight thousand, four hundred ninety-six".