32961740 has 24 divisors (see below), whose sum is σ = 79108512. Its totient is φ = 11301120.

The previous prime is 32961727. The next prime is 32961743. The reversal of 32961740 is 4716923.

It is a junction number, because it is equal to n+sod(n) for n = 32961697 and 32961706.

It is not an unprimeable number, because it can be changed into a prime (32961743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117581 + ... + 117860.

It is an arithmetic number, because the mean of its divisors is an integer number (3296188).

Almost surely, 2^32961740 is an apocalyptic number.

It is an amenable number.

32961740 is an abundant number, since it is smaller than the sum of its proper divisors (46146772).

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

32961740 is a wasteful number, since it uses less digits than its factorization.

32961740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235457 (or 235455 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 32961740 is about 5741.2315751936. The cubic root of 32961740 is about 320.6294252005.

It can be divided in two parts, 3 and 2961740, that multiplied together give a triangular number (8885220 = T₄₂₁₅).

The spelling of 32961740 in words is "thirty-two million, nine hundred sixty-one thousand, seven hundred forty".