32990724 has 72 divisors (see below), whose sum is σ = 90581400. Its totient is φ = 10063872.

The previous prime is 32990681. The next prime is 32990729. The reversal of 32990724 is 42709923.

It can be written as a sum of positive squares in 4 ways, for example, as 705600 + 32285124 = 840^2 + 5682^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32990729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73252 + ... + 73700.

It is an arithmetic number, because the mean of its divisors is an integer number (1258075).

Almost surely, 2^32990724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32990724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45290700).

32990724 is an abundant number, since it is smaller than the sum of its proper divisors (57590676).

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

32990724 is a wasteful number, since it uses less digits than its factorization.

32990724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

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

The square root of 32990724 is about 5743.7552176255. The cubic root of 32990724 is about 320.7233765585.

The spelling of 32990724 in words is "thirty-two million, nine hundred ninety thousand, seven hundred twenty-four".