1019680992 has 144 divisors (see below), whose sum is σ = 3223544688. Its totient is φ = 303114240.

The previous prime is 1019680969. The next prime is 1019680997. The reversal of 1019680992 is 2990869101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1019680992² = 2079498650892208128, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019680997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164868 + ... + 170940.

It is an arithmetic number, because the mean of its divisors is an integer number (22385727).

Almost surely, 2^1019680992 is an apocalyptic number.

1019680992 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 1019680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611772344).

1019680992 is an abundant number, since it is smaller than the sum of its proper divisors (2203863696).

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

1019680992 is a wasteful number, since it uses less digits than its factorization.

1019680992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1019680992 is about 31932.4441908226. Note that the first 3 decimals coincide. The cubic root of 1019680992 is about 1006.5177572136.

The spelling of 1019680992 in words is "one billion, nineteen million, six hundred eighty thousand, nine hundred ninety-two".