112987440 has 240 divisors, whose sum is σ = 415702560. Its totient is φ = 28200960.

The previous prime is 112987439. The next prime is 112987463. The reversal of 112987440 is 44789211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112987395 and 112987404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624150 + ... + 624330.

It is an arithmetic number, because the mean of its divisors is an integer number (1732094).

Almost surely, 2^112987440 is an apocalyptic number.

112987440 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 112987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207851280).

112987440 is an abundant number, since it is smaller than the sum of its proper divisors (302715120).

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

112987440 is a wasteful number, since it uses less digits than its factorization.

112987440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 112987440 is about 10629.5550236122. Note that the first 3 decimals coincide. The cubic root of 112987440 is about 483.4408998272.

The spelling of 112987440 in words is "one hundred twelve million, nine hundred eighty-seven thousand, four hundred forty".