276857664 has 112 divisors (see below), whose sum is σ = 797966400. Its totient is φ = 84381696.

The previous prime is 276857657. The next prime is 276857731. The reversal of 276857664 is 466758672.

It is a super-2 number, since 2×276857664² = 153300332231073792, 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 15 ways as a sum of consecutive naturals, for example, 104484 + ... + 107100.

It is an arithmetic number, because the mean of its divisors is an integer number (7124700).

Almost surely, 2^276857664 is an apocalyptic number.

276857664 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 276857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398983200).

276857664 is an abundant number, since it is smaller than the sum of its proper divisors (521108736).

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

276857664 is a wasteful number, since it uses less digits than its factorization.

276857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2670 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 276857664 is about 16639.0403569437. The cubic root of 276857664 is about 651.7567185495.

The spelling of 276857664 in words is "two hundred seventy-six million, eight hundred fifty-seven thousand, six hundred sixty-four".