1047920640 has 288 divisors, whose sum is σ = 3699362016. Its totient is φ = 251658240.

The previous prime is 1047920633. The next prime is 1047920689. The reversal of 1047920640 is 460297401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25559020 + ... + 25559060.

It is an arithmetic number, because the mean of its divisors is an integer number (12845007).

Almost surely, 2^1047920640 is an apocalyptic number.

1047920640 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 1047920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849681008).

1047920640 is an abundant number, since it is smaller than the sum of its proper divisors (2651441376).

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

1047920640 is an frugal number, since it uses more digits than its factorization.

1047920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1047920640 is about 32371.6023699785. The cubic root of 1047920640 is about 1015.7249756763.

The spelling of 1047920640 in words is "one billion, forty-seven million, nine hundred twenty thousand, six hundred forty".