112642776 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 35640000.

The previous prime is 112642771. The next prime is 112642781. The reversal of 112642776 is 677246211.

112642776 is a `hidden beast` number, since 1 + 1 + 2 + 642 + 7 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (112642771) and next prime (112642781).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112642776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112642771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415521 + ... + 415791.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^112642776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112642776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

112642776 is an abundant number, since it is smaller than the sum of its proper divisors (208143144).

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

112642776 is a wasteful number, since it uses less digits than its factorization.

112642776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 112642776 is about 10613.3301088772. The cubic root of 112642776 is about 482.9488262849.

Adding to 112642776 its reverse (677246211), we get a palindrome (789888987).

The spelling of 112642776 in words is "one hundred twelve million, six hundred forty-two thousand, seven hundred seventy-six".