1024763264 has 128 divisors (see below), whose sum is σ = 2522664000. Its totient is φ = 413048832.

The previous prime is 1024763263. The next prime is 1024763279. The reversal of 1024763264 is 4623674201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024763261) 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, 745682 + ... + 747054.

Almost surely, 2^1024763264 is an apocalyptic number.

1024763264 is a gapful number since it is divisible by the number (14) 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 1024763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261332000).

1024763264 is an abundant number, since it is smaller than the sum of its proper divisors (1497900736).

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

1024763264 is an equidigital number, since it uses as much as digits as its factorization.

1024763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 1024763264 is about 32011.9237784923. The cubic root of 1024763264 is about 1008.1872080275.

The spelling of 1024763264 in words is "one billion, twenty-four million, seven hundred sixty-three thousand, two hundred sixty-four".