112995540 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 25529472.

The previous prime is 112995511. The next prime is 112995541. The reversal of 112995540 is 45599211.

112995540 is a `hidden beast` number, since 1 + 1 + 29 + 95 + 540 = 666.

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 = 112995495 and 112995504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112995541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631171 + ... + 631349.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^112995540 is an apocalyptic number.

112995540 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 112995540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

112995540 is an abundant number, since it is smaller than the sum of its proper divisors (293430060).

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

112995540 is a wasteful number, since it uses less digits than its factorization.

112995540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 112995540 is about 10629.9360299110. The cubic root of 112995540 is about 483.4524520779.

112995540 divided by its sum of digits (36) gives a triangular number (3138765 = T₂₅₀₅).

It can be divided in two parts, 1129 and 95540, that added together give a palindrome (96669).

The spelling of 112995540 in words is "one hundred twelve million, nine hundred ninety-five thousand, five hundred forty".