112077440 has 64 divisors (see below), whose sum is σ = 275234760. Its totient is φ = 43610112.

The previous prime is 112077421. The next prime is 112077451. The reversal of 112077440 is 44770211.

It can be written as a sum of positive squares in 4 ways, for example, as 94167616 + 17909824 = 9704^2 + 4232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×112077440² = 25122705113907200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21314 + ... + 26046.

Almost surely, 2^112077440 is an apocalyptic number.

112077440 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 112077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137617380).

112077440 is an abundant number, since it is smaller than the sum of its proper divisors (163157320).

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

112077440 is an equidigital number, since it uses as much as digits as its factorization.

112077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 112077440 is about 10586.6633081439. The cubic root of 112077440 is about 482.1395233214.

The spelling of 112077440 in words is "one hundred twelve million, seventy-seven thousand, four hundred forty".