276864640 has 128 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 100945920.

The previous prime is 276864631. The next prime is 276864641. The reversal of 276864640 is 46468672.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×276864640³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (276864641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890085 + ... + 890395.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^276864640 is an apocalyptic number.

276864640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

276864640 is the 8320-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

276864640 is an abundant number, since it is smaller than the sum of its proper divisors (444903680).

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

276864640 is a wasteful number, since it uses less digits than its factorization.

276864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 276864640 is about 16639.2499830972. The cubic root of 276864640 is about 651.7621926219.

The spelling of 276864640 in words is "two hundred seventy-six million, eight hundred sixty-four thousand, six hundred forty".