1024261920 has 144 divisors (see below), whose sum is σ = 3813106752. Its totient is φ = 248302080.

The previous prime is 1024261891. The next prime is 1024261981. The reversal of 1024261920 is 291624201.

1024261920 is a `hidden beast` number, since 1 + 0 + 2 + 42 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1024261920² = 2098224961524172800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16492 + ... + 48171.

It is an arithmetic number, because the mean of its divisors is an integer number (26479908).

Almost surely, 2^1024261920 is an apocalyptic number.

1024261920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024261920 is an abundant number, since it is smaller than the sum of its proper divisors (2788844832).

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

1024261920 is a wasteful number, since it uses less digits than its factorization.

1024261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64695 (or 64684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1024261920 is about 32004.0922383373. The cubic root of 1024261920 is about 1008.0227697049.

The spelling of 1024261920 in words is "one billion, twenty-four million, two hundred sixty-one thousand, nine hundred twenty".