112611840 has 320 divisors, whose sum is σ = 414830592. Its totient is φ = 25804800.

The previous prime is 112611817. The next prime is 112611847. The reversal of 112611840 is 48116211.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112611840.

It is not an unprimeable number, because it can be changed into a prime (112611847) 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, 2618859 + ... + 2618901.

Almost surely, 2^112611840 is an apocalyptic number.

112611840 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 112611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207415296).

112611840 is an abundant number, since it is smaller than the sum of its proper divisors (302218752).

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

112611840 is a wasteful number, since it uses less digits than its factorization.

112611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 112611840 is about 10611.8725962952. The cubic root of 112611840 is about 482.9046101847.

The spelling of 112611840 in words is "one hundred twelve million, six hundred eleven thousand, eight hundred forty".