1020272864 has 72 divisors (see below), whose sum is σ = 2218741560. Its totient is φ = 459095040.

The previous prime is 1020272831. The next prime is 1020272879. The reversal of 1020272864 is 4682720201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1020272864.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 698567 + ... + 700025.

It is an arithmetic number, because the mean of its divisors is an integer number (30815855).

Almost surely, 2^1020272864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020272864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109370780).

1020272864 is an abundant number, since it is smaller than the sum of its proper divisors (1198468696).

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

1020272864 is a wasteful number, since it uses less digits than its factorization.

1020272864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1020272864 is about 31941.7104113102. The cubic root of 1020272864 is about 1006.7124633542.

The spelling of 1020272864 in words is "one billion, twenty million, two hundred seventy-two thousand, eight hundred sixty-four".