111772440 has 256 divisors, whose sum is σ = 423360000. Its totient is φ = 26002944.

The previous prime is 111772429. The next prime is 111772447. The reversal of 111772440 is 44277111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111772447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266551 + ... + 266969.

It is an arithmetic number, because the mean of its divisors is an integer number (1653750).

Almost surely, 2^111772440 is an apocalyptic number.

111772440 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 111772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

111772440 is an abundant number, since it is smaller than the sum of its proper divisors (311587560).

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

111772440 is a wasteful number, since it uses less digits than its factorization.

111772440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 111772440 is about 10572.2485782354. The cubic root of 111772440 is about 481.7017719784.

The spelling of 111772440 in words is "one hundred eleven million, seven hundred seventy-two thousand, four hundred forty".