112669440 has 288 divisors, whose sum is σ = 404515776. Its totient is φ = 26542080.

The previous prime is 112669399. The next prime is 112669451. The reversal of 112669440 is 44966211.

It is a super-3 number, since 3×112669440³ (a number of 25 digits) contains 333 as substring.

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, 1847010 + ... + 1847070.

Almost surely, 2^112669440 is an apocalyptic number.

112669440 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 112669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202257888).

112669440 is an abundant number, since it is smaller than the sum of its proper divisors (291846336).

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

112669440 is a wasteful number, since it uses less digits than its factorization.

112669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 112669440 is about 10614.5861907095. The cubic root of 112669440 is about 482.9869300202.

It can be divided in two parts, 11266 and 9440, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 112669440 in words is "one hundred twelve million, six hundred sixty-nine thousand, four hundred forty".