1111681872 has 240 divisors, whose sum is σ = 3745926912. Its totient is φ = 301086720.

The previous prime is 1111681847. The next prime is 1111681897. The reversal of 1111681872 is 2781861111.

It is an interprime number because it is at equal distance from previous prime (1111681847) and next prime (1111681897).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528773 + ... + 1529499.

Almost surely, 2^1111681872 is an apocalyptic number.

1111681872 is a gapful number since it is divisible by the number (12) 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 1111681872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872963456).

1111681872 is an abundant number, since it is smaller than the sum of its proper divisors (2634245040).

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

1111681872 is a wasteful number, since it uses less digits than its factorization.

1111681872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its digits is 5376, while the sum is 36.

The square root of 1111681872 is about 33341.8936474820. The cubic root of 1111681872 is about 1035.9214869716.

The spelling of 1111681872 in words is "one billion, one hundred eleven million, six hundred eighty-one thousand, eight hundred seventy-two".