32638970 has 96 divisors (see below), whose sum is σ = 75893760. Its totient is φ = 9884160.

The previous prime is 32638967. The next prime is 32638973. The reversal of 32638970 is 7983623.

It is an interprime number because it is at equal distance from previous prime (32638967) and next prime (32638973).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32638973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366686 + ... + 366774.

It is an arithmetic number, because the mean of its divisors is an integer number (790560).

Almost surely, 2^32638970 is an apocalyptic number.

32638970 is an abundant number, since it is smaller than the sum of its proper divisors (43254790).

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

32638970 is a wasteful number, since it uses less digits than its factorization.

32638970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 32638970 is about 5713.0525990927. The cubic root of 32638970 is about 319.5794279583.

The spelling of 32638970 in words is "thirty-two million, six hundred thirty-eight thousand, nine hundred seventy".