1024652640 has 192 divisors, whose sum is σ = 3596866560. Its totient is φ = 243056640.

The previous prime is 1024652609. The next prime is 1024652663. The reversal of 1024652640 is 462564201.

1024652640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1024652598 and 1024652607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246096 + ... + 250224.

It is an arithmetic number, because the mean of its divisors is an integer number (18733680).

Almost surely, 2^1024652640 is an apocalyptic number.

1024652640 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 1024652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798433280).

1024652640 is an abundant number, since it is smaller than the sum of its proper divisors (2572213920).

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

1024652640 is a wasteful number, since it uses less digits than its factorization.

1024652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1024652640 is about 32010.1958756894. The cubic root of 1024652640 is about 1008.1509285214.

The spelling of 1024652640 in words is "one billion, twenty-four million, six hundred fifty-two thousand, six hundred forty".