32882940 has 144 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 8265600.

The previous prime is 32882933. The next prime is 32882957. The reversal of 32882940 is 4928823.

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

It is a junction number, because it is equal to n+sod(n) for n = 32882895 and 32882904.

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, 396139 + ... + 396221.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^32882940 is an apocalyptic number.

32882940 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 32882940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

32882940 is an abundant number, since it is smaller than the sum of its proper divisors (72787716).

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

32882940 is a wasteful number, since it uses less digits than its factorization.

32882940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 32882940 is about 5734.3648296913. The cubic root of 32882940 is about 320.3737170246.

The spelling of 32882940 in words is "thirty-two million, eight hundred eighty-two thousand, nine hundred forty".