36492768 has 216 divisors, whose sum is σ = 122319288. Its totient is φ = 10637568.

The previous prime is 36492763. The next prime is 36492769. The reversal of 36492768 is 86729463.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36492763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1920663 + ... + 1920681.

It is an arithmetic number, because the mean of its divisors is an integer number (566293).

Almost surely, 2^36492768 is an apocalyptic number.

36492768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61159644).

36492768 is an abundant number, since it is smaller than the sum of its proper divisors (85826520).

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

36492768 is a wasteful number, since it uses less digits than its factorization.

36492768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 37 counting only the distinct ones).

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

The square root of 36492768 is about 6040.9244325682. The cubic root of 36492768 is about 331.6924621010.

It can be divided in two parts, 36 and 492768, that added together give a square (492804 = 702²).

The spelling of 36492768 in words is "thirty-six million, four hundred ninety-two thousand, seven hundred sixty-eight".