111649440 has 288 divisors, whose sum is σ = 421956864. Its totient is φ = 24729600.

The previous prime is 111649423. The next prime is 111649441. The reversal of 111649440 is 44946111.

111649440 = T₂₉ + T₃₀ + ... + T₈₇₄.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 111649398 and 111649407.

It is not an unprimeable number, because it can be changed into a prime (111649441) 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, 1105390 + ... + 1105490.

It is an arithmetic number, because the mean of its divisors is an integer number (1465128).

Almost surely, 2^111649440 is an apocalyptic number.

111649440 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 111649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210978432).

111649440 is an abundant number, since it is smaller than the sum of its proper divisors (310307424).

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

111649440 is a wasteful number, since it uses less digits than its factorization.

111649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 111649440 is about 10566.4298606483. The cubic root of 111649440 is about 481.5250108589.

The spelling of 111649440 in words is "one hundred eleven million, six hundred forty-nine thousand, four hundred forty".