32545920 has 256 divisors, whose sum is σ = 119854080. Its totient is φ = 7434240.

The previous prime is 32545901. The next prime is 32545951. The reversal of 32545920 is 2954523.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485727 + ... + 485793.

It is an arithmetic number, because the mean of its divisors is an integer number (468180).

Almost surely, 2^32545920 is an apocalyptic number.

32545920 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 32545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59927040).

32545920 is an abundant number, since it is smaller than the sum of its proper divisors (87308160).

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

32545920 is a wasteful number, since it uses less digits than its factorization.

32545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 32545920 is about 5704.9031543051. The cubic root of 32545920 is about 319.2754440047.

The spelling of 32545920 in words is "thirty-two million, five hundred forty-five thousand, nine hundred twenty".