632970 has 48 divisors (see below), whose sum is σ = 1775592. Its totient is φ = 155520.

The previous prime is 632941. The next prime is 632971. The reversal of 632970 is 79236.

It can be written as a sum of positive squares in 4 ways, for example, as 363609 + 269361 = 603^2 + 519^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900 + ... + 1440.

2⁶³²⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887796).

632970 is an abundant number, since it is smaller than the sum of its proper divisors (1142622).

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

632970 is a wasteful number, since it uses less digits than its factorization.

632970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 632970 is about 795.5941176253. The cubic root of 632970 is about 85.8606902671.

The spelling of 632970 in words is "six hundred thirty-two thousand, nine hundred seventy".