113366880 has 288 divisors, whose sum is σ = 447920928. Its totient is φ = 25804800.

The previous prime is 113366873. The next prime is 113366893. The reversal of 113366880 is 88663311.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269070 + ... + 269490.

It is an arithmetic number, because the mean of its divisors is an integer number (1555281).

Almost surely, 2^113366880 is an apocalyptic number.

113366880 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 113366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223960464).

113366880 is an abundant number, since it is smaller than the sum of its proper divisors (334554048).

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

113366880 is a wasteful number, since it uses less digits than its factorization.

113366880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 113366880 is about 10647.3884121882. The cubic root of 113366880 is about 483.9814668586.

The spelling of 113366880 in words is "one hundred thirteen million, three hundred sixty-six thousand, eight hundred eighty".