276668640 has 144 divisors (see below), whose sum is σ = 949384800. Its totient is φ = 73368576.

The previous prime is 276668621. The next prime is 276668653. The reversal of 276668640 is 46866672.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 329341 + ... + 330179.

It is an arithmetic number, because the mean of its divisors is an integer number (6592950).

Almost surely, 2^276668640 is an apocalyptic number.

276668640 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 276668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474692400).

276668640 is an abundant number, since it is smaller than the sum of its proper divisors (672716160).

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

276668640 is a wasteful number, since it uses less digits than its factorization.

276668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 276668640 is about 16633.3592518168. The cubic root of 276668640 is about 651.6083562606.

The spelling of 276668640 in words is "two hundred seventy-six million, six hundred sixty-eight thousand, six hundred forty".