116949120 has 128 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 29343744.

The previous prime is 116949101. The next prime is 116949127. The reversal of 116949120 is 21949611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116949127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30849 + ... + 34431.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^116949120 is an apocalyptic number.

116949120 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 116949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

116949120 is an abundant number, since it is smaller than the sum of its proper divisors (277864320).

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

116949120 is a wasteful number, since it uses less digits than its factorization.

116949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 116949120 is about 10814.3016418075. The cubic root of 116949120 is about 489.0264161607.

The spelling of 116949120 in words is "one hundred sixteen million, nine hundred forty-nine thousand, one hundred twenty".