36764064 has 96 divisors (see below), whose sum is σ = 113581440. Its totient is φ = 11529216.

The previous prime is 36764053. The next prime is 36764071. The reversal of 36764064 is 46046763.

36764064 is a `hidden beast` number, since 3 + 6 + 7 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 13437 + ... + 15939.

It is an arithmetic number, because the mean of its divisors is an integer number (1183140).

Almost surely, 2^36764064 is an apocalyptic number.

36764064 is a gapful number since it is divisible by the number (34) 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 36764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56790720).

36764064 is an abundant number, since it is smaller than the sum of its proper divisors (76817376).

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

36764064 is a wasteful number, since it uses less digits than its factorization.

36764064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 36764064 is about 6063.3376947025. The cubic root of 36764064 is about 332.5123940581.

The spelling of 36764064 in words is "thirty-six million, seven hundred sixty-four thousand, sixty-four".