632197020 has 384 divisors, whose sum is σ = 2370816000. Its totient is φ = 124637184.

The previous prime is 632197001. The next prime is 632197039. The reversal of 632197020 is 20791236.

It is an interprime number because it is at equal distance from previous prime (632197001) and next prime (632197039).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4548111 + ... + 4548249.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2^632197020 is an apocalyptic number.

632197020 is a gapful number since it is divisible by the number (60) 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 632197020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408000).

632197020 is an abundant number, since it is smaller than the sum of its proper divisors (1738618980).

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

632197020 is a wasteful number, since it uses less digits than its factorization.

632197020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 632197020 is about 25143.5283920137. The cubic root of 632197020 is about 858.2572513915.

The spelling of 632197020 in words is "six hundred thirty-two million, one hundred ninety-seven thousand, twenty".