2760968 has 32 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 1156992.

The previous prime is 2760959. The next prime is 2760983. The reversal of 2760968 is 8690672.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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, 2108 + ... + 3156.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

2^2760968 is an apocalyptic number.

2760968 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 2760968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2760968 is an abundant number, since it is smaller than the sum of its proper divisors (3287032).

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

2760968 is a wasteful number, since it uses less digits than its factorization.

2760968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2760968 is about 1661.6160808081. The cubic root of 2760968 is about 140.2879786531.

The spelling of 2760968 in words is "two million, seven hundred sixty thousand, nine hundred sixty-eight".