112566000 has 160 divisors (see below), whose sum is σ = 369315648. Its totient is φ = 29491200.

The previous prime is 112565977. The next prime is 112566019. The reversal of 112566000 is 665211.

It is a happy number.

It is a super-2 number, since 2×112566000² = 25342208712000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437872 + ... + 438128.

Almost surely, 2^112566000 is an apocalyptic number.

112566000 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 112566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184657824).

112566000 is an abundant number, since it is smaller than the sum of its proper divisors (256749648).

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

112566000 is a wasteful number, since it uses less digits than its factorization.

112566000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 112566000 is about 10609.7125314497. The cubic root of 112566000 is about 482.8390772542.

The spelling of 112566000 in words is "one hundred twelve million, five hundred sixty-six thousand".