112959000 has 384 divisors, whose sum is σ = 478932480. Its totient is φ = 23328000.

The previous prime is 112958983. The next prime is 112959013. The reversal of 112959000 is 959211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692919 + ... + 693081.

It is an arithmetic number, because the mean of its divisors is an integer number (1247220).

Almost surely, 2^112959000 is an apocalyptic number.

112959000 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 112959000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239466240).

112959000 is an abundant number, since it is smaller than the sum of its proper divisors (365973480).

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

112959000 is a wasteful number, since it uses less digits than its factorization.

112959000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 112959000 is about 10628.2171599944. The cubic root of 112959000 is about 483.4003342181.

The spelling of 112959000 in words is "one hundred twelve million, nine hundred fifty-nine thousand".