64126656 has 168 divisors, whose sum is σ = 208026000. Its totient is φ = 18708480.

The previous prime is 64126651. The next prime is 64126663. The reversal of 64126656 is 65662146.

It is a happy number.

64126656 is a `hidden beast` number, since 641 + 2 + 6 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×64126656² = 8224456019484672, which contains 22 as substring.

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 64126656.

It is not an unprimeable number, because it can be changed into a prime (64126651) 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, 183570 + ... + 183918.

It is an arithmetic number, because the mean of its divisors is an integer number (1238250).

Almost surely, 2^64126656 is an apocalyptic number.

64126656 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 64126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104013000).

64126656 is an abundant number, since it is smaller than the sum of its proper divisors (143899344).

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

64126656 is a wasteful number, since it uses less digits than its factorization.

64126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 64126656 is about 8007.9120874295. The cubic root of 64126656 is about 400.2636927937.

The spelling of 64126656 in words is "sixty-four million, one hundred twenty-six thousand, six hundred fifty-six".