116951040 has 288 divisors, whose sum is σ = 429287040. Its totient is φ = 30523392.

The previous prime is 116951011. The next prime is 116951053. The reversal of 116951040 is 40159611.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 116950995 and 116951013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488297 + ... + 2488343.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^116951040 is an apocalyptic number.

116951040 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 116951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

116951040 is an abundant number, since it is smaller than the sum of its proper divisors (312336000).

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

116951040 is an frugal number, since it uses more digits than its factorization.

116951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 116951040 is about 10814.3904127787. The cubic root of 116951040 is about 489.0290923261.

The spelling of 116951040 in words is "one hundred sixteen million, nine hundred fifty-one thousand, forty".