1020272832 has 84 divisors (see below), whose sum is σ = 2936495016. Its totient is φ = 338688000.

The previous prime is 1020272831. The next prime is 1020272879. The reversal of 1020272832 is 2382720201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020272796 and 1020272805.

It is not an unprimeable number, because it can be changed into a prime (1020272831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141048 + ... + 148104.

It is an arithmetic number, because the mean of its divisors is an integer number (34958274).

Almost surely, 2^1020272832 is an apocalyptic number.

1020272832 is a gapful number since it is divisible by the number (12) 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 1020272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468247508).

1020272832 is an abundant number, since it is smaller than the sum of its proper divisors (1916222184).

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

1020272832 is a wasteful number, since it uses less digits than its factorization.

1020272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7326 (or 7313 counting only the distinct ones).

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

The square root of 1020272832 is about 31941.7099103977. The cubic root of 1020272832 is about 1006.7124528293.

The spelling of 1020272832 in words is "one billion, twenty million, two hundred seventy-two thousand, eight hundred thirty-two".