32998768 has 80 divisors (see below), whose sum is σ = 75932640. Its totient is φ = 13721600.

The previous prime is 32998711. The next prime is 32998799. The reversal of 32998768 is 86789923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122538 + ... + 122806.

It is an arithmetic number, because the mean of its divisors is an integer number (949158).

Almost surely, 2^32998768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32998768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966320).

32998768 is an abundant number, since it is smaller than the sum of its proper divisors (42933872).

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

32998768 is a wasteful number, since it uses less digits than its factorization.

32998768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 32998768 is about 5744.4554137011. The cubic root of 32998768 is about 320.7494413516.

The spelling of 32998768 in words is "thirty-two million, nine hundred ninety-eight thousand, seven hundred sixty-eight".