3114960 has 40 divisors (see below), whose sum is σ = 9657120. Its totient is φ = 830592.

The previous prime is 3114953. The next prime is 3114967. The reversal of 3114960 is 694113.

It is an interprime number because it is at equal distance from previous prime (3114953) and next prime (3114967).

It is a tau number, because it is divible by the number of its divisors (40).

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 3114960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6250 + ... + 6729.

It is an arithmetic number, because the mean of its divisors is an integer number (241428).

Almost surely, 2^3114960 is an apocalyptic number.

3114960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3114960 is an abundant number, since it is smaller than the sum of its proper divisors (6542160).

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

3114960 is a wasteful number, since it uses less digits than its factorization.

3114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12995 (or 12989 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3114960 is about 1764.9249275819. The cubic root of 3114960 is about 146.0441475300.

The spelling of 3114960 in words is "three million, one hundred fourteen thousand, nine hundred sixty".