32955000 has 160 divisors (see below), whose sum is σ = 111526800. Its totient is φ = 8112000.

The previous prime is 32954983. The next prime is 32955001. The reversal of 32955000 is 55923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32955001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2534994 + ... + 2535006.

Almost surely, 2^32955000 is an apocalyptic number.

32955000 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 32955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55763400).

32955000 is an abundant number, since it is smaller than the sum of its proper divisors (78571800).

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

32955000 is an equidigital number, since it uses as much as digits as its factorization.

32955000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 32955000 is about 5740.6445631131. The cubic root of 32955000 is about 320.6075696630.

The spelling of 32955000 in words is "thirty-two million, nine hundred fifty-five thousand".