32970960 has 240 divisors, whose sum is σ = 126741888. Its totient is φ = 7603200.

The previous prime is 32970953. The next prime is 32970967. The reversal of 32970960 is 6907923.

It is an interprime number because it is at equal distance from previous prime (32970953) and next prime (32970967).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32970967) 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 47 ways as a sum of consecutive naturals, for example, 182070 + ... + 182250.

Almost surely, 2^32970960 is an apocalyptic number.

32970960 is a gapful number since it is divisible by the number (30) 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 32970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

32970960 is an abundant number, since it is smaller than the sum of its proper divisors (93770928).

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

32970960 is a wasteful number, since it uses less digits than its factorization.

32970960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 32970960 is about 5742.0344826551. The cubic root of 32970960 is about 320.6593177134.

It can be divided in two parts, 32970 and 960, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 32970960 in words is "thirty-two million, nine hundred seventy thousand, nine hundred sixty".