64380096 has 140 divisors (see below), whose sum is σ = 208376520. Its totient is φ = 19491840.

The previous prime is 64380089. The next prime is 64380097. The reversal of 64380096 is 69008346.

64380096 is a `hidden beast` number, since 643 + 8 + 0 + 0 + 9 + 6 = 666.

64380096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64380096.

It is not an unprimeable number, because it can be changed into a prime (64380097) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 56460 + ... + 57588.

Almost surely, 2^64380096 is an apocalyptic number.

64380096 is a gapful number since it is divisible by the number (66) 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 64380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104188260).

64380096 is an abundant number, since it is smaller than the sum of its proper divisors (143996424).

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

64380096 is a wasteful number, since it uses less digits than its factorization.

64380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64380096 is about 8023.7208326312. The cubic root of 64380096 is about 400.7903041865.

The spelling of 64380096 in words is "sixty-four million, three hundred eighty thousand, ninety-six".