1013677992 has 96 divisors (see below), whose sum is σ = 2810925000. Its totient is φ = 329909760.

The previous prime is 1013677979. The next prime is 1013678069. The reversal of 1013677992 is 2997763101.

It can be written as a sum of positive squares in 4 ways, for example, as 300467556 + 713210436 = 17334^2 + 26706^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653634 + ... + 655182.

Almost surely, 2^1013677992 is an apocalyptic number.

1013677992 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 1013677992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405462500).

1013677992 is an abundant number, since it is smaller than the sum of its proper divisors (1797247008).

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

1013677992 is a wasteful number, since it uses less digits than its factorization.

1013677992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1013677992 is about 31838.3101310355. The cubic root of 1013677992 is about 1004.5386997062.

The spelling of 1013677992 in words is "one billion, thirteen million, six hundred seventy-seven thousand, nine hundred ninety-two".