111621664 has 96 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 42915840.

The previous prime is 111621661. The next prime is 111621689. The reversal of 111621664 is 466126111.

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

It is not an unprimeable number, because it can be changed into a prime (111621661) 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, 219042 + ... + 219550.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^111621664 is an apocalyptic number.

111621664 is a gapful number since it is divisible by the number (14) 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 111621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

111621664 is an abundant number, since it is smaller than the sum of its proper divisors (165981536).

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

111621664 is a wasteful number, since it uses less digits than its factorization.

111621664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 111621664 is about 10565.1154276704. The cubic root of 111621664 is about 481.4850764953.

Adding to 111621664 its reverse (466126111), we get a palindrome (577747775).

The spelling of 111621664 in words is "one hundred eleven million, six hundred twenty-one thousand, six hundred sixty-four".