110816640 has 384 divisors, whose sum is σ = 439538400. Its totient is φ = 26357760.

The previous prime is 110816639. The next prime is 110816653. The reversal of 110816640 is 46618011.

110816640 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 2090854 + ... + 2090906.

Almost surely, 2^110816640 is an apocalyptic number.

110816640 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 110816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

110816640 is an abundant number, since it is smaller than the sum of its proper divisors (328721760).

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

110816640 is a wasteful number, since it uses less digits than its factorization.

110816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 110816640 is about 10526.9482757350. The cubic root of 110816640 is about 480.3247801959.

The spelling of 110816640 in words is "one hundred ten million, eight hundred sixteen thousand, six hundred forty".