1039993920 has 336 divisors, whose sum is σ = 4146255360. Its totient is φ = 234344448.

The previous prime is 1039993907. The next prime is 1039993951. The reversal of 1039993920 is 293999301.

1039993920 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592314 + ... + 1592966.

Almost surely, 2^1039993920 is an apocalyptic number.

1039993920 is a gapful number since it is divisible by the number (10) 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 1039993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073127680).

1039993920 is an abundant number, since it is smaller than the sum of its proper divisors (3106261440).

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

1039993920 is a wasteful number, since it uses less digits than its factorization.

1039993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 1039993920 is about 32248.9367266581. The cubic root of 1039993920 is about 1013.1574294544.

The spelling of 1039993920 in words is "one billion, thirty-nine million, nine hundred ninety-three thousand, nine hundred twenty".