64084800 has 252 divisors, whose sum is σ = 230550720. Its totient is φ = 15575040.

The previous prime is 64084799. The next prime is 64084819. The reversal of 64084800 is 848046.

64084800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811161 + ... + 811239.

Almost surely, 2^64084800 is an apocalyptic number.

64084800 is a gapful number since it is divisible by the number (60) 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 64084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115275360).

64084800 is an abundant number, since it is smaller than the sum of its proper divisors (166465920).

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

64084800 is a wasteful number, since it uses less digits than its factorization.

64084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 64084800 is about 8005.2982455371. The cubic root of 64084800 is about 400.1765886963.

The spelling of 64084800 in words is "sixty-four million, eighty-four thousand, eight hundred".