32998560 has 288 divisors, whose sum is σ = 128241792. Its totient is φ = 7096320.

The previous prime is 32998541. The next prime is 32998571. The reversal of 32998560 is 6589923.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540930 + ... + 540990.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^32998560 is an apocalyptic number.

32998560 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 32998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

32998560 is an abundant number, since it is smaller than the sum of its proper divisors (95243232).

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

32998560 is a wasteful number, since it uses less digits than its factorization.

32998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 32998560 is about 5744.4373092584. The cubic root of 32998560 is about 320.7487674272.

It can be divided in two parts, 329 and 98560, that added together give a palindrome (98889).

The spelling of 32998560 in words is "thirty-two million, nine hundred ninety-eight thousand, five hundred sixty".