32641440 has 96 divisors (see below), whose sum is σ = 110750976. Its totient is φ = 8033280.

The previous prime is 32641423. The next prime is 32641451. The reversal of 32641440 is 4414623.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32641440.

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, 3625 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (1153656).

Almost surely, 2^32641440 is an apocalyptic number.

32641440 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 32641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55375488).

32641440 is an abundant number, since it is smaller than the sum of its proper divisors (78109536).

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

32641440 is a wasteful number, since it uses less digits than its factorization.

32641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 32641440 is about 5713.2687666519. The cubic root of 32641440 is about 319.5874892960.

The spelling of 32641440 in words is "thirty-two million, six hundred forty-one thousand, four hundred forty".