115664472 has 192 divisors, whose sum is σ = 403752960. Its totient is φ = 29030400.

The previous prime is 115664459. The next prime is 115664473. The reversal of 115664472 is 274466511.

115664472 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 644 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115664473) 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, 171528 + ... + 172200.

It is an arithmetic number, because the mean of its divisors is an integer number (2102880).

Almost surely, 2^115664472 is an apocalyptic number.

115664472 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 115664472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201876480).

115664472 is an abundant number, since it is smaller than the sum of its proper divisors (288088488).

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

115664472 is a wasteful number, since it uses less digits than its factorization.

115664472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 727 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 115664472 is about 10754.7418379057. The cubic root of 115664472 is about 487.2292208282.

The spelling of 115664472 in words is "one hundred fifteen million, six hundred sixty-four thousand, four hundred seventy-two".