1024738960 has 120 divisors (see below), whose sum is σ = 2810250936. Its totient is φ = 346429440.

The previous prime is 1024738931. The next prime is 1024738961. The reversal of 1024738960 is 698374201.

It can be written as a sum of positive squares in 4 ways, for example, as 308213136 + 716525824 = 17556^2 + 26768^2 .

It is a super-2 number, since 2×1024738960² = 2100179872283763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1024738961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284370 + ... + 287950.

Almost surely, 2^1024738960 is an apocalyptic number.

1024738960 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 1024738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405125468).

1024738960 is an abundant number, since it is smaller than the sum of its proper divisors (1785511976).

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

1024738960 is a wasteful number, since it uses less digits than its factorization.

1024738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1024738960 is about 32011.5441676905. The cubic root of 1024738960 is about 1008.1792376743.

The spelling of 1024738960 in words is "one billion, twenty-four million, seven hundred thirty-eight thousand, nine hundred sixty".