70958400 has 84 divisors (see below), whose sum is σ = 232818432. Its totient is φ = 18920960.

The previous prime is 70958399. The next prime is 70958417. The reversal of 70958400 is 485907.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2592 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (2771648).

Almost surely, 2^70958400 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 70958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409216).

70958400 is an abundant number, since it is smaller than the sum of its proper divisors (161860032).

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

70958400 is a wasteful number, since it uses less digits than its factorization.

70958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 70958400 is about 8423.6809056374. The cubic root of 70958400 is about 414.0008868333. Note that the first 3 decimals are identical.

The spelling of 70958400 in words is "seventy million, nine hundred fifty-eight thousand, four hundred".