1114819920 has 120 divisors (see below), whose sum is σ = 3751072416. Its totient is φ = 296719104.

The previous prime is 1114819891. The next prime is 1114819939. The reversal of 1114819920 is 299184111.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 490627 + ... + 492893.

Almost surely, 2^1114819920 is an apocalyptic number.

1114819920 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 1114819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875536208).

1114819920 is an abundant number, since it is smaller than the sum of its proper divisors (2636252496).

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

1114819920 is a wasteful number, since it uses less digits than its factorization.

1114819920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1114819920 is about 33388.9191199715. The cubic root of 1114819920 is about 1036.8953019535.

The spelling of 1114819920 in words is "one billion, one hundred fourteen million, eight hundred nineteen thousand, nine hundred twenty".