108642456 has 192 divisors, whose sum is σ = 343980000. Its totient is φ = 30689280.

The previous prime is 108642451. The next prime is 108642463. The reversal of 108642456 is 654246801.

108642456 is a `hidden beast` number, since 1 + 0 + 8 + 642 + 4 + 5 + 6 = 666.

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 108642456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108642451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729070 + ... + 729218.

Almost surely, 2^108642456 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 108642456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990000).

108642456 is an abundant number, since it is smaller than the sum of its proper divisors (235337544).

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

108642456 is a wasteful number, since it uses less digits than its factorization.

108642456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 108642456 is about 10423.1691917574. The cubic root of 108642456 is about 477.1627413004.

The spelling of 108642456 in words is "one hundred eight million, six hundred forty-two thousand, four hundred fifty-six".