1009624820 has 12 divisors (see below), whose sum is σ = 2120212164. Its totient is φ = 403849920.

The previous prime is 1009624783. The next prime is 1009624823. The reversal of 1009624820 is 284269001.

It can be written as a sum of positive squares in 2 ways, for example, as 375894544 + 633730276 = 19388^2 + 25174^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009624823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25240601 + ... + 25240640.

It is an arithmetic number, because the mean of its divisors is an integer number (176684347).

Almost surely, 2^1009624820 is an apocalyptic number.

1009624820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009624820 is an abundant number, since it is smaller than the sum of its proper divisors (1110587344).

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

1009624820 is a wasteful number, since it uses less digits than its factorization.

1009624820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50481250 (or 50481248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1009624820 is about 31774.5939391836. The cubic root of 1009624820 is about 1003.1980350029.

The spelling of 1009624820 in words is "one billion, nine million, six hundred twenty-four thousand, eight hundred twenty".