1009888992 has 96 divisors (see below), whose sum is σ = 3366316800. Its totient is φ = 288537984.

The previous prime is 1009888987. The next prime is 1009888993. The reversal of 1009888992 is 2998889001.

It is a happy number.

1009888992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009888993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77442 + ... + 89537.

It is an arithmetic number, because the mean of its divisors is an integer number (35065800).

Almost surely, 2^1009888992 is an apocalyptic number.

1009888992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009888992 is an abundant number, since it is smaller than the sum of its proper divisors (2356427808).

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

1009888992 is a wasteful number, since it uses less digits than its factorization.

1009888992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167005 (or 166991 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 1009888992 is about 31778.7506362349. The cubic root of 1009888992 is about 1003.2855241755.

The spelling of 1009888992 in words is "one billion, nine million, eight hundred eighty-eight thousand, nine hundred ninety-two".