18146960 has 40 divisors (see below), whose sum is σ = 45439800. Its totient is φ = 6700032.

The previous prime is 18146959. The next prime is 18146963. The reversal of 18146960 is 6964181.

It can be written as a sum of positive squares in 4 ways, for example, as 3888784 + 14258176 = 1972^2 + 3776^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 18146960.

It is not an unprimeable number, because it can be changed into a prime (18146963) 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, 7685 + ... + 9764.

It is an arithmetic number, because the mean of its divisors is an integer number (1135995).

Almost surely, 2^18146960 is an apocalyptic number.

18146960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18146960 is an abundant number, since it is smaller than the sum of its proper divisors (27292840).

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

18146960 is a wasteful number, since it uses less digits than its factorization.

18146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17475 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 18146960 is about 4259.9248819668. The cubic root of 18146960 is about 262.7854370526.

The spelling of 18146960 in words is "eighteen million, one hundred forty-six thousand, nine hundred sixty".