32764140 has 72 divisors (see below), whose sum is σ = 100009728. Its totient is φ = 8682240.

The previous prime is 32764133. The next prime is 32764153. The reversal of 32764140 is 4146723.

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, 33904 + ... + 34856.

It is an arithmetic number, because the mean of its divisors is an integer number (1389024).

Almost surely, 2^32764140 is an apocalyptic number.

32764140 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 32764140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50004864).

32764140 is an abundant number, since it is smaller than the sum of its proper divisors (67245588).

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

32764140 is a wasteful number, since it uses less digits than its factorization.

32764140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 32764140 is about 5723.9968553450. The cubic root of 32764140 is about 319.9874344024.

The spelling of 32764140 in words is "thirty-two million, seven hundred sixty-four thousand, one hundred forty".