70642400 has 72 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 28060160.

The previous prime is 70642393. The next prime is 70642409. The reversal of 70642400 is 424607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70642409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181406 + ... + 181794.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^70642400 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 70642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

70642400 is an abundant number, since it is smaller than the sum of its proper divisors (103018360).

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

70642400 is a wasteful number, since it uses less digits than its factorization.

70642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 70642400 is about 8404.9033307945. The cubic root of 70642400 is about 413.3854137173.

The spelling of 70642400 in words is "seventy million, six hundred forty-two thousand, four hundred".