70400064 has 112 divisors (see below), whose sum is σ = 217424000. Its totient is φ = 20095488.

The previous prime is 70400063. The next prime is 70400069. The reversal of 70400064 is 46000407.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×70400064² = 9912338022408192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 70400064.

It is not an unprimeable number, because it can be changed into a prime (70400063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65322 + ... + 66390.

Almost surely, 2^70400064 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 70400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108712000).

70400064 is an abundant number, since it is smaller than the sum of its proper divisors (147023936).

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

70400064 is a wasteful number, since it uses less digits than its factorization.

70400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 70400064 is about 8390.4745992107. The cubic root of 70400064 is about 412.9121713074.

The spelling of 70400064 in words is "seventy million, four hundred thousand, sixty-four".