1032030720 has 560 divisors, whose sum is σ = 4293653760. Its totient is φ = 232906752.

The previous prime is 1032030697. The next prime is 1032030731. The reversal of 1032030720 is 270302301.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1032030693 and 1032030702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063641 + ... + 13063719.

Almost surely, 2^1032030720 is an apocalyptic number.

1032030720 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 1032030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146826880).

1032030720 is an abundant number, since it is smaller than the sum of its proper divisors (3261623040).

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

1032030720 is an frugal number, since it uses more digits than its factorization.

1032030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1032030720 is about 32125.2349407751. The cubic root of 1032030720 is about 1010.5648965533.

The spelling of 1032030720 in words is "one billion, thirty-two million, thirty thousand, seven hundred twenty".