112678000 has 80 divisors (see below), whose sum is σ = 277857216. Its totient is φ = 44179200.

The previous prime is 112677997. The next prime is 112678001. The reversal of 112678000 is 876211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112678001) 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, 105469 + ... + 106531.

Almost surely, 2^112678000 is an apocalyptic number.

112678000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

112678000 is an abundant number, since it is smaller than the sum of its proper divisors (165179216).

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

112678000 is a wasteful number, since it uses less digits than its factorization.

112678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 112678000 is about 10614.9894017846. The cubic root of 112678000 is about 482.9991612678. Note that the first 3 decimals are identical.

The spelling of 112678000 in words is "one hundred twelve million, six hundred seventy-eight thousand".