1022832720 has 480 divisors, whose sum is σ = 4309224192. Its totient is φ = 211673088.

The previous prime is 1022832709. The next prime is 1022832731. The reversal of 1022832720 is 272382201.

It is a happy number.

1022832720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022832709) and next prime (1022832731).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4389724 + ... + 4389956.

Almost surely, 2^1022832720 is an apocalyptic number.

1022832720 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 1022832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154612096).

1022832720 is an abundant number, since it is smaller than the sum of its proper divisors (3286391472).

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

1022832720 is a wasteful number, since it uses less digits than its factorization.

1022832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1022832720 is about 31981.7560493479. The cubic root of 1022832720 is about 1007.5537045467.

The spelling of 1022832720 in words is "one billion, twenty-two million, eight hundred thirty-two thousand, seven hundred twenty".