64906128 has 120 divisors (see below), whose sum is σ = 218587200. Its totient is φ = 17563392.

The previous prime is 64906117. The next prime is 64906133. The reversal of 64906128 is 82160946.

64906128 is a `hidden beast` number, since 649 + 0 + 6 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 64906092 and 64906101.

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, 17458 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (1821560).

Almost surely, 2^64906128 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 64906128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109293600).

64906128 is an abundant number, since it is smaller than the sum of its proper divisors (153681072).

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

64906128 is a wasteful number, since it uses less digits than its factorization.

64906128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 64906128 is about 8056.4339505764. The cubic root of 64906128 is about 401.8789269313.

The spelling of 64906128 in words is "sixty-four million, nine hundred six thousand, one hundred twenty-eight".