273863968 has 48 divisors (see below), whose sum is σ = 619968384. Its totient is φ = 116651520.

The previous prime is 273863957. The next prime is 273863981. The reversal of 273863968 is 869368372.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33748 + ... + 41068.

It is an arithmetic number, because the mean of its divisors is an integer number (12916008).

Almost surely, 2^273863968 is an apocalyptic number.

273863968 is a gapful number since it is divisible by the number (28) 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 273863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309984192).

273863968 is an abundant number, since it is smaller than the sum of its proper divisors (346104416).

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

273863968 is a wasteful number, since it uses less digits than its factorization.

273863968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7497 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 273863968 is about 16548.8358502947. The cubic root of 273863968 is about 649.3990247994.

The spelling of 273863968 in words is "two hundred seventy-three million, eight hundred sixty-three thousand, nine hundred sixty-eight".