920001024 has 160 divisors (see below), whose sum is σ = 2770447680. Its totient is φ = 301363200.

The previous prime is 920001023. The next prime is 920001097. The reversal of 920001024 is 420100029.

It is a super-2 number, since 2×920001024² = 1692803768322097152, which contains 22 as substring.

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 = 920000988 and 920001006.

It is not an unprimeable number, because it can be changed into a prime (920001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842719 + ... + 843809.

It is an arithmetic number, because the mean of its divisors is an integer number (17315298).

Almost surely, 2^920001024 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 920001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385223840).

920001024 is an abundant number, since it is smaller than the sum of its proper divisors (1850446656).

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

920001024 is a wasteful number, since it uses less digits than its factorization.

920001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 920001024 is about 30331.5186563416. The cubic root of 920001024 is about 972.5891870633.

The spelling of 920001024 in words is "nine hundred twenty million, one thousand, twenty-four".