32166240 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 8123904.

The previous prime is 32166229. The next prime is 32166319. The reversal of 32166240 is 4266123.

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 32166240.

It is a congruent number.

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, 7357 + ... + 10883.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^32166240 is an apocalyptic number.

32166240 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 32166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

32166240 is an abundant number, since it is smaller than the sum of its proper divisors (74520480).

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

32166240 is a wasteful number, since it uses less digits than its factorization.

32166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 32166240 is about 5671.5288943988. The cubic root of 32166240 is about 318.0290310112.

The spelling of 32166240 in words is "thirty-two million, one hundred sixty-six thousand, two hundred forty".