64211904 has 84 divisors (see below), whose sum is σ = 188610240. Its totient is φ = 20874240.

The previous prime is 64211897. The next prime is 64211947. The reversal of 64211904 is 40911246.

64211904 is a `hidden beast` number, since 642 + 1 + 19 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22257 + ... + 24975.

It is an arithmetic number, because the mean of its divisors is an integer number (2245360).

Almost surely, 2^64211904 is an apocalyptic number.

64211904 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 64211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94305120).

64211904 is an abundant number, since it is smaller than the sum of its proper divisors (124398336).

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

64211904 is a wasteful number, since it uses less digits than its factorization.

64211904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 64211904 is about 8013.2330553903. The cubic root of 64211904 is about 400.4409803289.

The spelling of 64211904 in words is "sixty-four million, two hundred eleven thousand, nine hundred four".