36064000 has 216 divisors, whose sum is σ = 109051488. Its totient is φ = 11827200.

The previous prime is 36063991. The next prime is 36064003. The reversal of 36064000 is 46063.

It is a happy number.

It is a super-2 number, since 2×36064000² = 2601224192000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36064003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567989 + ... + 1568011.

It is an arithmetic number, because the mean of its divisors is an integer number (504868).

Almost surely, 2^36064000 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 36064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54525744).

36064000 is an abundant number, since it is smaller than the sum of its proper divisors (72987488).

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

36064000 is an equidigital number, since it uses as much as digits as its factorization.

36064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 36064000 is about 6005.3309650676. The cubic root of 36064000 is about 330.3882788143.

It can be divided in two parts, 360 and 64000, that multiplied together give a square (23040000 = 4800²).

The spelling of 36064000 in words is "thirty-six million, sixty-four thousand", and thus it is an eban number.