70813600 has 144 divisors (see below), whose sum is σ = 203424480. Its totient is φ = 23731200.

The previous prime is 70813583. The next prime is 70813609. The reversal of 70813600 is 631807.

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

It is not an unprimeable number, because it can be changed into a prime (70813609) 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, 114091 + ... + 114709.

It is an arithmetic number, because the mean of its divisors is an integer number (1412670).

Almost surely, 2^70813600 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 70813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101712240).

70813600 is an abundant number, since it is smaller than the sum of its proper divisors (132610880).

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

70813600 is a wasteful number, since it uses less digits than its factorization.

70813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 70813600 is about 8415.0816989498. The cubic root of 70813600 is about 413.7190872083.

The spelling of 70813600 in words is "seventy million, eight hundred thirteen thousand, six hundred".