32279040 has 160 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 8589312.

The previous prime is 32279033. The next prime is 32279069. The reversal of 32279040 is 4097223.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 32278995 and 32279013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68887 + ... + 69353.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^32279040 is an apocalyptic number.

32279040 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 32279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

32279040 is an abundant number, since it is smaller than the sum of its proper divisors (82624320).

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

32279040 is an equidigital number, since it uses as much as digits as its factorization.

32279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

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

The square root of 32279040 is about 5681.4645999073. The cubic root of 32279040 is about 318.4003501591.

The spelling of 32279040 in words is "thirty-two million, two hundred seventy-nine thousand, forty".