1024636480 has 112 divisors (see below), whose sum is σ = 2836103040. Its totient is φ = 345305088.

The previous prime is 1024636477. The next prime is 1024636493. The reversal of 1024636480 is 846364201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1024636480² = 2099759832293580800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128284 + ... + 136036.

Almost surely, 2^1024636480 is an apocalyptic number.

1024636480 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 1024636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418051520).

1024636480 is an abundant number, since it is smaller than the sum of its proper divisors (1811466560).

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

1024636480 is an equidigital number, since it uses as much as digits as its factorization.

1024636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1024636480 is about 32009.9434551203. The cubic root of 1024636480 is about 1008.1456285775.

The spelling of 1024636480 in words is "one billion, twenty-four million, six hundred thirty-six thousand, four hundred eighty".