64909152 has 144 divisors (see below), whose sum is σ = 230211072. Its totient is φ = 16853760.

The previous prime is 64909147. The next prime is 64909171. The reversal of 64909152 is 25190946.

64909152 is a `hidden beast` number, since 649 + 0 + 9 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20713 + ... + 23639.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2^64909152 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 64909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105536).

64909152 is an abundant number, since it is smaller than the sum of its proper divisors (165301920).

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

64909152 is a wasteful number, since it uses less digits than its factorization.

64909152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 64909152 is about 8056.6216244776. The cubic root of 64909152 is about 401.8851680626.

The spelling of 64909152 in words is "sixty-four million, nine hundred nine thousand, one hundred fifty-two".