32530680 has 256 divisors, whose sum is σ = 133862400. Its totient is φ = 6842880.

The previous prime is 32530643. The next prime is 32530681. The reversal of 32530680 is 8603523.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 32530680 = 41³ + 319³ = 72³ + 318³.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32530681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98115 + ... + 98445.

It is an arithmetic number, because the mean of its divisors is an integer number (522900).

Almost surely, 2^32530680 is an apocalyptic number.

32530680 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 32530680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66931200).

32530680 is an abundant number, since it is smaller than the sum of its proper divisors (101331720).

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

32530680 is a wasteful number, since it uses less digits than its factorization.

32530680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 32530680 is about 5703.5673047664. The cubic root of 32530680 is about 319.2256014290.

The spelling of 32530680 in words is "thirty-two million, five hundred thirty thousand, six hundred eighty".