36264000 has 112 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 9664000.

The previous prime is 36263987. The next prime is 36264023. The reversal of 36264000 is 46263.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23245 + ... + 24755.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 2^36264000 is an apocalyptic number.

36264000 is a gapful number since it is divisible by the number (30) 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 36264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

36264000 is an abundant number, since it is smaller than the sum of its proper divisors (83558976).

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

36264000 is a wasteful number, since it uses less digits than its factorization.

36264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 36264000 is about 6021.9598138812. The cubic root of 36264000 is about 330.9978976570.

It can be divided in two parts, 3626 and 4000, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 36264000 in words is "thirty-six million, two hundred sixty-four thousand".