116441920 has 112 divisors (see below), whose sum is σ = 319674240. Its totient is φ = 39573504.

The previous prime is 116441911. The next prime is 116441933. The reversal of 116441920 is 29144611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508366 + ... + 508594.

Almost surely, 2^116441920 is an apocalyptic number.

116441920 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 116441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159837120).

116441920 is an abundant number, since it is smaller than the sum of its proper divisors (203232320).

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

116441920 is a wasteful number, since it uses less digits than its factorization.

116441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 116441920 is about 10790.8257330012. The cubic root of 116441920 is about 488.3184341095.

The spelling of 116441920 in words is "one hundred sixteen million, four hundred forty-one thousand, nine hundred twenty".