32799240 has 96 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 8461440.

The previous prime is 32799233. The next prime is 32799241. The reversal of 32799240 is 4299723.

32799240 is a `hidden beast` number, since 327 + 99 + 240 = 666.

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 = 32799195 and 32799204.

It is not an unprimeable number, because it can be changed into a prime (32799241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9691 + ... + 12629.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^32799240 is an apocalyptic number.

32799240 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 32799240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

32799240 is an abundant number, since it is smaller than the sum of its proper divisors (77274360).

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

32799240 is a wasteful number, since it uses less digits than its factorization.

32799240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 32799240 is about 5727.0620740481. The cubic root of 32799240 is about 320.1016604085.

The spelling of 32799240 in words is "thirty-two million, seven hundred ninety-nine thousand, two hundred forty".