1042648320 has 288 divisors, whose sum is σ = 3861688320. Its totient is φ = 234823680.

The previous prime is 1042648309. The next prime is 1042648349. The reversal of 1042648320 is 238462401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2123275 + ... + 2123765.

It is an arithmetic number, because the mean of its divisors is an integer number (13408640).

Almost surely, 2^1042648320 is an apocalyptic number.

1042648320 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 1042648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930844160).

1042648320 is an abundant number, since it is smaller than the sum of its proper divisors (2819040000).

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

1042648320 is an equidigital number, since it uses as much as digits as its factorization.

1042648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1042648320 is about 32290.0653452420. The cubic root of 1042648320 is about 1014.0186653583.

The spelling of 1042648320 in words is "one billion, forty-two million, six hundred forty-eight thousand, three hundred twenty".