2406768 has 160 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 580608.

The previous prime is 2406763. The next prime is 2406769. The reversal of 2406768 is 8676042.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82978 + ... + 83006.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2^2406768 is an apocalyptic number.

2406768 is a gapful number since it is divisible by the number (28) 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 2406768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2406768 is an abundant number, since it is smaller than the sum of its proper divisors (5926032).

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

2406768 is a wasteful number, since it uses less digits than its factorization.

2406768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2406768 is about 1551.3761632821. The cubic root of 2406768 is about 134.0123252939.

The spelling of 2406768 in words is "two million, four hundred six thousand, seven hundred sixty-eight".