268186890 has 64 divisors (see below), whose sum is σ = 677071872. Its totient is φ = 67891200.

The previous prime is 268186873. The next prime is 268186907. The reversal of 268186890 is 98681862.

It is an interprime number because it is at equal distance from previous prime (268186873) and next prime (268186907).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46570 + ... + 52010.

It is an arithmetic number, because the mean of its divisors is an integer number (10579248).

Almost surely, 2^268186890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268186890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338535936).

268186890 is an abundant number, since it is smaller than the sum of its proper divisors (408884982).

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

268186890 is a wasteful number, since it uses less digits than its factorization.

268186890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535.

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 268186890 is about 16376.4126108254. The cubic root of 268186890 is about 644.8804056854.

The spelling of 268186890 in words is "two hundred sixty-eight million, one hundred eighty-six thousand, eight hundred ninety".