32994720 has 144 divisors (see below), whose sum is σ = 122889312. Its totient is φ = 7994880.

The previous prime is 32994707. The next prime is 32994743. The reversal of 32994720 is 2749923.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14799 + ... + 16881.

It is an arithmetic number, because the mean of its divisors is an integer number (853398).

Almost surely, 2^32994720 is an apocalyptic number.

32994720 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 32994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61444656).

32994720 is an abundant number, since it is smaller than the sum of its proper divisors (89894592).

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

32994720 is a wasteful number, since it uses less digits than its factorization.

32994720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

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

The square root of 32994720 is about 5744.1030631422. The cubic root of 32994720 is about 320.7363252374.

The spelling of 32994720 in words is "thirty-two million, nine hundred ninety-four thousand, seven hundred twenty".