32978160 has 120 divisors (see below), whose sum is σ = 111827664. Its totient is φ = 8709120.

The previous prime is 32978131. The next prime is 32978173. The reversal of 32978160 is 6187923.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117220 + ... + 117500.

Almost surely, 2^32978160 is an apocalyptic number.

32978160 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 32978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55913832).

32978160 is an abundant number, since it is smaller than the sum of its proper divisors (78849504).

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

32978160 is a wasteful number, since it uses less digits than its factorization.

32978160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

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

The square root of 32978160 is about 5742.6614039137. The cubic root of 32978160 is about 320.6826572324.

The spelling of 32978160 in words is "thirty-two million, nine hundred seventy-eight thousand, one hundred sixty".