275164890 has 384 divisors, whose sum is σ = 965260800. Its totient is φ = 49674240.

The previous prime is 275164871. The next prime is 275164909. The reversal of 275164890 is 98461572.

275164890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (275164871) and next prime (275164909).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16186162 + ... + 16186178.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^275164890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275164890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

275164890 is an abundant number, since it is smaller than the sum of its proper divisors (690095910).

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

275164890 is a wasteful number, since it uses less digits than its factorization.

275164890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 275164890 is about 16588.0948273152. The cubic root of 275164890 is about 650.4256698958.

The spelling of 275164890 in words is "two hundred seventy-five million, one hundred sixty-four thousand, eight hundred ninety".