70934400 has 192 divisors, whose sum is σ = 259916400. Its totient is φ = 18892800.

The previous prime is 70934389. The next prime is 70934401. The reversal of 70934400 is 443907.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70934401) 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, 85990 + ... + 86810.

Almost surely, 2^70934400 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 70934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129958200).

70934400 is an abundant number, since it is smaller than the sum of its proper divisors (188982000).

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

70934400 is a wasteful number, since it uses less digits than its factorization.

70934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70934400 is about 8422.2562297760. The cubic root of 70934400 is about 413.9542062349.

The spelling of 70934400 in words is "seventy million, nine hundred thirty-four thousand, four hundred".