32798160 has 60 divisors (see below), whose sum is σ = 110149572. Its totient is φ = 8745984.

The previous prime is 32798153. The next prime is 32798167. The reversal of 32798160 is 6189723.

It is an interprime number because it is at equal distance from previous prime (32798153) and next prime (32798167).

It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 13927824 = 4344^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32798167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22057 + ... + 23496.

Almost surely, 2^32798160 is an apocalyptic number.

32798160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32798160 is an abundant number, since it is smaller than the sum of its proper divisors (77351412).

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

32798160 is a wasteful number, since it uses less digits than its factorization.

32798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45572 (or 45563 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 32798160 is about 5726.9677840896. The cubic root of 32798160 is about 320.0981469777.

The spelling of 32798160 in words is "thirty-two million, seven hundred ninety-eight thousand, one hundred sixty".