273251664 has 160 divisors (see below), whose sum is σ = 905696000. Its totient is φ = 77262336.

The previous prime is 273251653. The next prime is 273251677. The reversal of 273251664 is 466152372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 329202 + ... + 330030.

It is an arithmetic number, because the mean of its divisors is an integer number (5660600).

Almost surely, 2^273251664 is an apocalyptic number.

273251664 is a gapful number since it is divisible by the number (24) 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 273251664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452848000).

273251664 is an abundant number, since it is smaller than the sum of its proper divisors (632444336).

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

273251664 is a wasteful number, since it uses less digits than its factorization.

273251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 273251664 is about 16530.3255866302. The cubic root of 273251664 is about 648.9146890522.

The spelling of 273251664 in words is "two hundred seventy-three million, two hundred fifty-one thousand, six hundred sixty-four".