32649312 has 48 divisors (see below), whose sum is σ = 86123520. Its totient is φ = 10829952.

The previous prime is 32649311. The next prime is 32649317. The reversal of 32649312 is 21394623.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32649312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32649311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22233 + ... + 23655.

It is an arithmetic number, because the mean of its divisors is an integer number (1794240).

Almost surely, 2^32649312 is an apocalyptic number.

32649312 is a gapful number since it is divisible by the number (32) 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 32649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43061760).

32649312 is an abundant number, since it is smaller than the sum of its proper divisors (53474208).

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

32649312 is a wasteful number, since it uses less digits than its factorization.

32649312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 32649312 is about 5713.9576477254. The cubic root of 32649312 is about 319.6131784251.

The spelling of 32649312 in words is "thirty-two million, six hundred forty-nine thousand, three hundred twelve".