64681600 has 192 divisors, whose sum is σ = 179285400. Its totient is φ = 22937600.

The previous prime is 64681597. The next prime is 64681619. The reversal of 64681600 is 618646.

It can be written as a sum of positive squares in 12 ways, for example, as 1065024 + 63616576 = 1032^2 + 7976^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 1577580 + ... + 1577620.

Almost surely, 2^64681600 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 64681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89642700).

64681600 is an abundant number, since it is smaller than the sum of its proper divisors (114603800).

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

64681600 is a wasteful number, since it uses less digits than its factorization.

64681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 64681600 is about 8042.4871774843. The cubic root of 64681600 is about 401.4149886158.

The spelling of 64681600 in words is "sixty-four million, six hundred eighty-one thousand, six hundred".