64401696 has 96 divisors (see below), whose sum is σ = 189604800. Its totient is φ = 21265920.

The previous prime is 64401683. The next prime is 64401709. The reversal of 64401696 is 69610446.

64401696 is a `hidden beast` number, since 644 + 0 + 1 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64401683) and next prime (64401709).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×64401696³ (a number of 24 digits) contains 333 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 64401696.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112900 + ... + 113468.

It is an arithmetic number, because the mean of its divisors is an integer number (1975050).

Almost surely, 2^64401696 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 64401696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

64401696 is an abundant number, since it is smaller than the sum of its proper divisors (125203104).

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

64401696 is a wasteful number, since it uses less digits than its factorization.

64401696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64401696 is about 8025.0667286945. The cubic root of 64401696 is about 400.8351218819.

The spelling of 64401696 in words is "sixty-four million, four hundred one thousand, six hundred ninety-six".