70113600 has 210 divisors, whose sum is σ = 258196334. Its totient is φ = 18662400.

The previous prime is 70113551. The next prime is 70113601. The reversal of 70113600 is 631107.

It can be written as a sum of positive squares in 3 ways, for example, as 2742336 + 67371264 = 1656^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70113601) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 129330 + ... + 129870.

Almost surely, 2^70113600 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 70113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129098167).

70113600 is an abundant number, since it is smaller than the sum of its proper divisors (188082734).

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

70113600 is a wasteful number, since it uses less digits than its factorization.

70113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 70113600 is about 8373.3864117214. The cubic root of 70113600 is about 412.3513513981.

Adding to 70113600 its reverse (631107), we get a palindrome (70744707).

The spelling of 70113600 in words is "seventy million, one hundred thirteen thousand, six hundred".