111464640 has 448 divisors, whose sum is σ = 477926400. Its totient is φ = 23887872.

The previous prime is 111464611. The next prime is 111464657. The reversal of 111464640 is 46464111.

111464640 is a `hidden beast` number, since 1 + 1 + 14 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×111464640³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149072 + ... + 1149168.

It is an arithmetic number, because the mean of its divisors is an integer number (1066800).

Almost surely, 2^111464640 is an apocalyptic number.

111464640 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 111464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238963200).

111464640 is an abundant number, since it is smaller than the sum of its proper divisors (366461760).

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

111464640 is a wasteful number, since it uses less digits than its factorization.

111464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 111464640 is about 10557.6815636768. The cubic root of 111464640 is about 481.2591938425.

The spelling of 111464640 in words is "one hundred eleven million, four hundred sixty-four thousand, six hundred forty".