115954416 has 200 divisors, whose sum is σ = 375400080. Its totient is φ = 34338816.

The previous prime is 115954409. The next prime is 115954459. The reversal of 115954416 is 614459511.

115954416 is a `hidden beast` number, since 11 + 595 + 44 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418470 + ... + 418746.

Almost surely, 2^115954416 is an apocalyptic number.

115954416 is a gapful number since it is divisible by the number (16) 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 115954416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187700040).

115954416 is an abundant number, since it is smaller than the sum of its proper divisors (259445664).

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

115954416 is a wasteful number, since it uses less digits than its factorization.

115954416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 115954416 is about 10768.2132222574. The cubic root of 115954416 is about 487.6360046569.

The spelling of 115954416 in words is "one hundred fifteen million, nine hundred fifty-four thousand, four hundred sixteen".