1073853792 has 144 divisors (see below), whose sum is σ = 3409293888. Its totient is φ = 317802240.

The previous prime is 1073853763. The next prime is 1073853793. The reversal of 1073853792 is 2973583701.

It is a happy number.

1073853792 is a `hidden beast` number, since 107 + 3 + 8 + 537 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073853793) 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, 132283 + ... + 140165.

It is an arithmetic number, because the mean of its divisors is an integer number (23675652).

Almost surely, 2^1073853792 is an apocalyptic number.

1073853792 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 1073853792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704646944).

1073853792 is an abundant number, since it is smaller than the sum of its proper divisors (2335440096).

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

1073853792 is a wasteful number, since it uses less digits than its factorization.

1073853792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1073853792 is about 32769.7084515563. The cubic root of 1073853792 is about 1024.0355924315.

The spelling of 1073853792 in words is "one billion, seventy-three million, eight hundred fifty-three thousand, seven hundred ninety-two".