32792040 has 160 divisors (see below), whose sum is σ = 114345000. Its totient is φ = 8418816.

The previous prime is 32792033. The next prime is 32792063. The reversal of 32792040 is 4029723.

It can be written as a sum of positive squares in 4 ways, for example, as 29354724 + 3437316 = 5418^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32791995 and 32792013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93786 + ... + 94134.

Almost surely, 2^32792040 is an apocalyptic number.

32792040 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 32792040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57172500).

32792040 is an abundant number, since it is smaller than the sum of its proper divisors (81552960).

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

32792040 is a wasteful number, since it uses less digits than its factorization.

32792040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 32792040 is about 5726.4334449987. The cubic root of 32792040 is about 320.0782360790.

The spelling of 32792040 in words is "thirty-two million, seven hundred ninety-two thousand, forty".