108856440 has 576 divisors, whose sum is σ = 491248800. Its totient is φ = 21288960.

The previous prime is 108856427. The next prime is 108856463. The reversal of 108856440 is 44658801.

108856440 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 5 + 644 + 0 = 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 = 108856395 and 108856404.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6403312 + ... + 6403328.

Almost surely, 2^108856440 is an apocalyptic number.

108856440 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 108856440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245624400).

108856440 is an abundant number, since it is smaller than the sum of its proper divisors (382392360).

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

108856440 is a wasteful number, since it uses less digits than its factorization.

108856440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108856440 is about 10433.4289665479. The cubic root of 108856440 is about 477.4758117550.

The spelling of 108856440 in words is "one hundred eight million, eight hundred fifty-six thousand, four hundred forty".