273152660 has 72 divisors (see below), whose sum is σ = 646121448. Its totient is φ = 96870400.

The previous prime is 273152639. The next prime is 273152699. The reversal of 273152660 is 66251372.

It can be written as a sum of positive squares in 4 ways, for example, as 23639044 + 249513616 = 4862^2 + 15796^2 .

It is a super-2 number, since 2×273152660² = 149224751330151200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97844 + ... + 100596.

It is an arithmetic number, because the mean of its divisors is an integer number (8973909).

Almost surely, 2^273152660 is an apocalyptic number.

273152660 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 273152660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323060724).

273152660 is an abundant number, since it is smaller than the sum of its proper divisors (372968788).

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

273152660 is a wasteful number, since it uses less digits than its factorization.

273152660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 273152660 is about 16527.3306979681. The cubic root of 273152660 is about 648.8363084249.

The spelling of 273152660 in words is "two hundred seventy-three million, one hundred fifty-two thousand, six hundred sixty".