32961720 has 64 divisors (see below), whose sum is σ = 107879040. Its totient is φ = 7990400.

The previous prime is 32961703. The next prime is 32961727. The reversal of 32961720 is 2716923.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32961727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11166 + ... + 13805.

It is an arithmetic number, because the mean of its divisors is an integer number (1685610).

Almost surely, 2^32961720 is an apocalyptic number.

32961720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32961720 is an abundant number, since it is smaller than the sum of its proper divisors (74917320).

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

32961720 is a wasteful number, since it uses less digits than its factorization.

32961720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24996 (or 24992 counting only the distinct ones).

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

The square root of 32961720 is about 5741.2298334068. The cubic root of 32961720 is about 320.6293603517.

The spelling of 32961720 in words is "thirty-two million, nine hundred sixty-one thousand, seven hundred twenty".