111361680 has 60 divisors (see below), whose sum is σ = 373992060. Its totient is φ = 29696256.

The previous prime is 111361667. The next prime is 111361693. The reversal of 111361680 is 86163111.

It is an interprime number because it is at equal distance from previous prime (111361667) and next prime (111361693).

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 39992976 = 8448^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76615 + ... + 78054.

It is an arithmetic number, because the mean of its divisors is an integer number (6233201).

Almost surely, 2^111361680 is an apocalyptic number.

111361680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111361680 is an abundant number, since it is smaller than the sum of its proper divisors (262630380).

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

111361680 is a wasteful number, since it uses less digits than its factorization.

111361680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154688 (or 154679 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 111361680 is about 10552.8043666127. The cubic root of 111361680 is about 481.1109683274.

The spelling of 111361680 in words is "one hundred eleven million, three hundred sixty-one thousand, six hundred eighty".