116153760 has 96 divisors (see below), whose sum is σ = 371976192. Its totient is φ = 30458880.

The previous prime is 116153753. The next prime is 116153771. The reversal of 116153760 is 67351611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×116153760³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27297 + ... + 31263.

It is an arithmetic number, because the mean of its divisors is an integer number (3874752).

Almost surely, 2^116153760 is an apocalyptic number.

116153760 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 116153760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

116153760 is an abundant number, since it is smaller than the sum of its proper divisors (255822432).

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

116153760 is a wasteful number, since it uses less digits than its factorization.

116153760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 116153760 is about 10777.4653792067. The cubic root of 116153760 is about 487.9152858414.

The spelling of 116153760 in words is "one hundred sixteen million, one hundred fifty-three thousand, seven hundred sixty".