2432768 has 72 divisors (see below), whose sum is σ = 5665968. Its totient is φ = 1032192.

The previous prime is 2432743. The next prime is 2432791. The reversal of 2432768 is 8672342.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56555 + ... + 56597.

It is an arithmetic number, because the mean of its divisors is an integer number (78694).

2^2432768 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 2432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832984).

2432768 is an abundant number, since it is smaller than the sum of its proper divisors (3233200).

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

2432768 is a wasteful number, since it uses less digits than its factorization.

2432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 2432768 is about 1559.7333105374. The cubic root of 2432768 is about 134.4931704681.

The spelling of 2432768 in words is "two million, four hundred thirty-two thousand, seven hundred sixty-eight".