112061664 has 192 divisors, whose sum is σ = 384410880. Its totient is φ = 31311360.

The previous prime is 112061657. The next prime is 112061669. The reversal of 112061664 is 466160211.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112061669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123099 + ... + 124005.

It is an arithmetic number, because the mean of its divisors is an integer number (2002140).

Almost surely, 2^112061664 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 112061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192205440).

112061664 is an abundant number, since it is smaller than the sum of its proper divisors (272349216).

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

112061664 is a wasteful number, since it uses less digits than its factorization.

112061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112061664 is about 10585.9181935248. The cubic root of 112061664 is about 482.1169003028.

The spelling of 112061664 in words is "one hundred twelve million, sixty-one thousand, six hundred sixty-four".