1013820192 has 384 divisors, whose sum is σ = 3773952000. Its totient is φ = 262483200.

The previous prime is 1013820179. The next prime is 1013820209. The reversal of 1013820192 is 2910283101.

1013820192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259717 + ... + 3260027.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^1013820192 is an apocalyptic number.

1013820192 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 1013820192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1013820192 is an abundant number, since it is smaller than the sum of its proper divisors (2760131808).

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

1013820192 is a wasteful number, since it uses less digits than its factorization.

1013820192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

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

The square root of 1013820192 is about 31840.5432114466. The cubic root of 1013820192 is about 1004.5856701529.

The spelling of 1013820192 in words is "one billion, thirteen million, eight hundred twenty thousand, one hundred ninety-two".