70626400 has 72 divisors (see below), whose sum is σ = 185706864. Its totient is φ = 26073600.

The previous prime is 70626389. The next prime is 70626461. The reversal of 70626400 is 462607.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7005 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (2579262).

Almost surely, 2^70626400 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 70626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92853432).

70626400 is an abundant number, since it is smaller than the sum of its proper divisors (115080464).

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

70626400 is a wasteful number, since it uses less digits than its factorization.

70626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 70626400 is about 8403.9514515494. The cubic root of 70626400 is about 413.3542017444.

The spelling of 70626400 in words is "seventy million, six hundred twenty-six thousand, four hundred".