1024624040 has 32 divisors (see below), whose sum is σ = 2514987360. Its totient is φ = 372590400.

The previous prime is 1024624019. The next prime is 1024624043. The reversal of 1024624040 is 404264201.

It is a junction number, because it is equal to n+sod(n) for n = 1024623997 and 1024624015.

It is not an unprimeable number, because it can be changed into a prime (1024624043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1163906 + ... + 1164785.

It is an arithmetic number, because the mean of its divisors is an integer number (78593355).

Almost surely, 2^1024624040 is an apocalyptic number.

1024624040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024624040 is an abundant number, since it is smaller than the sum of its proper divisors (1490363320).

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

1024624040 is a wasteful number, since it uses less digits than its factorization.

1024624040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328713 (or 2328709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1024624040 is about 32009.7491399105. The cubic root of 1024624040 is about 1008.1415486322.

Adding to 1024624040 its reverse (404264201), we get a palindrome (1428888241).

The spelling of 1024624040 in words is "one billion, twenty-four million, six hundred twenty-four thousand, forty".