115641792 has 336 divisors, whose sum is σ = 418429440. Its totient is φ = 29804544.

The previous prime is 115641791. The next prime is 115641839. The reversal of 115641792 is 297146511.

115641792 is a `hidden beast` number, since 1 + 1 + 5 + 641 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (15120) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115641791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2689323 + ... + 2689365.

Almost surely, 2^115641792 is an apocalyptic number.

115641792 is a gapful number since it is divisible by the number (12) 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 115641792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209214720).

115641792 is an abundant number, since it is smaller than the sum of its proper divisors (302787648).

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

115641792 is a wasteful number, since it uses less digits than its factorization.

115641792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 115641792 is about 10753.6873675963. The cubic root of 115641792 is about 487.1973727280.

The spelling of 115641792 in words is "one hundred fifteen million, six hundred forty-one thousand, seven hundred ninety-two".