111971440 has 80 divisors (see below), whose sum is σ = 301409280. Its totient is φ = 37889280.

The previous prime is 111971423. The next prime is 111971443. The reversal of 111971440 is 44179111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 111971399 and 111971408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111971443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42975 + ... + 45505.

It is an arithmetic number, because the mean of its divisors is an integer number (3767616).

Almost surely, 2^111971440 is an apocalyptic number.

111971440 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 111971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150704640).

111971440 is an abundant number, since it is smaller than the sum of its proper divisors (189437840).

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

111971440 is a wasteful number, since it uses less digits than its factorization.

111971440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 111971440 is about 10581.6558250588. The cubic root of 111971440 is about 481.9874769334.

The spelling of 111971440 in words is "one hundred eleven million, nine hundred seventy-one thousand, four hundred forty".