112829704 has 64 divisors (see below), whose sum is σ = 238775040. Its totient is φ = 49635840.

The previous prime is 112829701. The next prime is 112829707. The reversal of 112829704 is 407928211.

It is an interprime number because it is at equal distance from previous prime (112829701) and next prime (112829707).

It is a self number, because there is not a number n which added to its sum of digits gives 112829704.

It is not an unprimeable number, because it can be changed into a prime (112829701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200127 + ... + 200689.

It is an arithmetic number, because the mean of its divisors is an integer number (3730860).

Almost surely, 2^112829704 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 112829704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119387520).

112829704 is an abundant number, since it is smaller than the sum of its proper divisors (125945336).

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

112829704 is a wasteful number, since it uses less digits than its factorization.

112829704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 112829704 is about 10622.1327425334. The cubic root of 112829704 is about 483.2158259988.

The spelling of 112829704 in words is "one hundred twelve million, eight hundred twenty-nine thousand, seven hundred four".