632042820 has 72 divisors (see below), whose sum is σ = 1983323160. Its totient is φ = 162731520.

The previous prime is 632042819. The next prime is 632042821. The reversal of 632042820 is 28240236.

632042820 is a `hidden beast` number, since 632 + 0 + 4 + 2 + 8 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (632042819) and next prime (632042821).

It can be written as a sum of positive squares in 4 ways, for example, as 38340864 + 593701956 = 6192^2 + 24366^2 .

It is not an unprimeable number, because it can be changed into a prime (632042821) 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 23 ways as a sum of consecutive naturals, for example, 55321 + ... + 65760.

It is an arithmetic number, because the mean of its divisors is an integer number (27546155).

Almost surely, 2^632042820 is an apocalyptic number.

632042820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

632042820 is an abundant number, since it is smaller than the sum of its proper divisors (1351280340).

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

632042820 is a wasteful number, since it uses less digits than its factorization.

632042820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121125 (or 121120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 632042820 is about 25140.4618096009. The cubic root of 632042820 is about 858.1874661687.

The spelling of 632042820 in words is "six hundred thirty-two million, forty-two thousand, eight hundred twenty".