270164160 has 280 divisors, whose sum is σ = 1099047840. Its totient is φ = 61710336.

The previous prime is 270164123. The next prime is 270164171. The reversal of 270164160 is 61461072.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180696 + ... + 182184.

Almost surely, 2^270164160 is an apocalyptic number.

270164160 is a gapful number since it is divisible by the number (20) 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 270164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549523920).

270164160 is an abundant number, since it is smaller than the sum of its proper divisors (828883680).

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

270164160 is a wasteful number, since it uses less digits than its factorization.

270164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 270164160 is about 16436.6711958352. The cubic root of 270164160 is about 646.4613701005.

The spelling of 270164160 in words is "two hundred seventy million, one hundred sixty-four thousand, one hundred sixty".