111977640 has 320 divisors, whose sum is σ = 423403200. Its totient is φ = 26376192.

The previous prime is 111977599. The next prime is 111977647. The reversal of 111977640 is 46779111.

111977640 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 7 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 111977595 and 111977604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111977647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046467 + ... + 1046573.

It is an arithmetic number, because the mean of its divisors is an integer number (1323135).

Almost surely, 2^111977640 is an apocalyptic number.

111977640 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 111977640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211701600).

111977640 is an abundant number, since it is smaller than the sum of its proper divisors (311425560).

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

111977640 is a wasteful number, since it uses less digits than its factorization.

111977640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 111977640 is about 10581.9487808248. The cubic root of 111977640 is about 481.9963728543.

The spelling of 111977640 in words is "one hundred eleven million, nine hundred seventy-seven thousand, six hundred forty".