32079840 has 192 divisors, whose sum is σ = 112021056. Its totient is φ = 7667712.

The previous prime is 32079821. The next prime is 32079841. The reversal of 32079840 is 4897023.

It is a super-2 number, since 2×32079840² = 2058232268851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32079841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330672 + ... + 330768.

It is an arithmetic number, because the mean of its divisors is an integer number (583443).

Almost surely, 2^32079840 is an apocalyptic number.

32079840 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 32079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56010528).

32079840 is an abundant number, since it is smaller than the sum of its proper divisors (79941216).

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

32079840 is a wasteful number, since it uses less digits than its factorization.

32079840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 32079840 is about 5663.9067788939. The cubic root of 32079840 is about 317.7440288145.

The spelling of 32079840 in words is "thirty-two million, seventy-nine thousand, eight hundred forty".