32940900 has 108 divisors (see below), whose sum is σ = 109375812. Its totient is φ = 8263680.

The previous prime is 32940893. The next prime is 32940907. The reversal of 32940900 is 904923.

It is an interprime number because it is at equal distance from previous prime (32940893) and next prime (32940907).

It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 30935844 = 1416^2 + 5562^2 .

It is not an unprimeable number, because it can be changed into a prime (32940907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14224 + ... + 16376.

It is an arithmetic number, because the mean of its divisors is an integer number (1012739).

Almost surely, 2^32940900 is an apocalyptic number.

32940900 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 32940900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54687906).

32940900 is an abundant number, since it is smaller than the sum of its proper divisors (76434912).

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

32940900 is a wasteful number, since it uses less digits than its factorization.

32940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 32940900 is about 5739.4163466332. The cubic root of 32940900 is about 320.5618384982.

The spelling of 32940900 in words is "thirty-two million, nine hundred forty thousand, nine hundred".