32887920 has 160 divisors (see below), whose sum is σ = 111992832. Its totient is φ = 7934976.

The previous prime is 32887919. The next prime is 32887949. The reversal of 32887920 is 2978823.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258897 + ... + 259023.

Almost surely, 2^32887920 is an apocalyptic number.

32887920 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 32887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55996416).

32887920 is an abundant number, since it is smaller than the sum of its proper divisors (79104912).

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

32887920 is a wasteful number, since it uses less digits than its factorization.

32887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 32887920 is about 5734.7990374555. The cubic root of 32887920 is about 320.3898893476.

The spelling of 32887920 in words is "thirty-two million, eight hundred eighty-seven thousand, nine hundred twenty".