32916420 has 144 divisors (see below), whose sum is σ = 109444608. Its totient is φ = 7971840.

The previous prime is 32916419. The next prime is 32916439. The reversal of 32916420 is 2461923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94687 + ... + 95033.

It is an arithmetic number, because the mean of its divisors is an integer number (760032).

Almost surely, 2^32916420 is an apocalyptic number.

32916420 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 32916420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54722304).

32916420 is an abundant number, since it is smaller than the sum of its proper divisors (76528188).

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

32916420 is a wasteful number, since it uses less digits than its factorization.

32916420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 32916420 is about 5737.2833292422. The cubic root of 32916420 is about 320.4824104060.

The spelling of 32916420 in words is "thirty-two million, nine hundred sixteen thousand, four hundred twenty".