112520464 has 100 divisors (see below), whose sum is σ = 265702860. Its totient is φ = 46099200.

The previous prime is 112520461. The next prime is 112520477. The reversal of 112520464 is 464025211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 24010000 = 9408^2 + 4900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112520461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1114014 + ... + 1114114.

Almost surely, 2^112520464 is an apocalyptic number.

112520464 is a gapful number since it is divisible by the number (14) 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 112520464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132851430).

112520464 is an abundant number, since it is smaller than the sum of its proper divisors (153182396).

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

112520464 is an equidigital number, since it uses as much as digits as its factorization.

112520464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 112520464 is about 10607.5663561441. The cubic root of 112520464 is about 482.7739613056.

Adding to 112520464 its reverse (464025211), we get a palindrome (576545675).

The spelling of 112520464 in words is "one hundred twelve million, five hundred twenty thousand, four hundred sixty-four".