115948000 has 192 divisors, whose sum is σ = 336825216. Its totient is φ = 38400000.

The previous prime is 115947983. The next prime is 115948069. The reversal of 115948000 is 849511.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115948000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147950 + ... + 1148050.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298).

Almost surely, 2^115948000 is an apocalyptic number.

115948000 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 115948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

115948000 is an abundant number, since it is smaller than the sum of its proper divisors (220877216).

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

115948000 is a wasteful number, since it uses less digits than its factorization.

115948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 115948000 is about 10767.9153042732. The cubic root of 115948000 is about 487.6270105182.

The spelling of 115948000 in words is "one hundred fifteen million, nine hundred forty-eight thousand".