116017920 has 216 divisors, whose sum is σ = 417392976. Its totient is φ = 30855168.

The previous prime is 116017919. The next prime is 116017927. The reversal of 116017920 is 29710611.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×116017920² = 26920315522252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116017927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 310854 + ... + 311226.

Almost surely, 2^116017920 is an apocalyptic number.

116017920 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 116017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208696488).

116017920 is an abundant number, since it is smaller than the sum of its proper divisors (301375056).

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

116017920 is an frugal number, since it uses more digits than its factorization.

116017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 116017920 is about 10771.1614972574. The cubic root of 116017920 is about 487.7250085560.

The spelling of 116017920 in words is "one hundred sixteen million, seventeen thousand, nine hundred twenty".