8400112 has 40 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 3571392.

The previous prime is 8400097. The next prime is 8400131. The reversal of 8400112 is 2110048.

It is a happy number.

It is a super-2 number, since 2×8400112² = 141123763225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19839 + ... + 20257.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^8400112 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 8400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

8400112 is an abundant number, since it is smaller than the sum of its proper divisors (10348688).

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

8400112 is a wasteful number, since it uses less digits than its factorization.

8400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8400112 is about 2898.2946710091. The cubic root of 8400112 is about 203.2801748224.

Subtracting from 8400112 its product of nonzero digits (64), we obtain a palindrome (8400048).

Subtracting from 8400112 its reverse (2110048), we obtain a square (6290064 = 2508²).

The spelling of 8400112 in words is "eight million, four hundred thousand, one hundred twelve".