64905984 has 216 divisors, whose sum is σ = 220972752. Its totient is φ = 18063360.

The previous prime is 64905961. The next prime is 64905989. The reversal of 64905984 is 48950946.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64905989) 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, 329374 + ... + 329570.

It is an arithmetic number, because the mean of its divisors is an integer number (1023022).

Almost surely, 2^64905984 is an apocalyptic number.

64905984 is a gapful number since it is divisible by the number (64) 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 64905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110486376).

64905984 is an abundant number, since it is smaller than the sum of its proper divisors (156066768).

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

64905984 is a wasteful number, since it uses less digits than its factorization.

64905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 64905984 is about 8056.4250136149. The cubic root of 64905984 is about 401.8786297297.

The spelling of 64905984 in words is "sixty-four million, nine hundred five thousand, nine hundred eighty-four".