112064940 has 144 divisors (see below), whose sum is σ = 371131488. Its totient is φ = 27205632.

The previous prime is 112064917. The next prime is 112064941. The reversal of 112064940 is 49460211.

112064940 is a `hidden beast` number, since 1 + 12 + 0 + 649 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112064941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193932 + ... + 194508.

It is an arithmetic number, because the mean of its divisors is an integer number (2577302).

Almost surely, 2^112064940 is an apocalyptic number.

112064940 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 112064940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185565744).

112064940 is an abundant number, since it is smaller than the sum of its proper divisors (259066548).

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

112064940 is a wasteful number, since it uses less digits than its factorization.

112064940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 683 counting only the distinct ones).

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

The square root of 112064940 is about 10586.0729262555. The cubic root of 112064940 is about 482.1215983102.

The spelling of 112064940 in words is "one hundred twelve million, sixty-four thousand, nine hundred forty".