268372980 has 96 divisors (see below), whose sum is σ = 840336000. Its totient is φ = 71103744.

The previous prime is 268372939. The next prime is 268372981. The reversal of 268372980 is 89273862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268372981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86496 + ... + 89544.

It is an arithmetic number, because the mean of its divisors is an integer number (8753500).

Almost surely, 2^268372980 is an apocalyptic number.

268372980 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 268372980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420168000).

268372980 is an abundant number, since it is smaller than the sum of its proper divisors (571963020).

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

268372980 is a wasteful number, since it uses less digits than its factorization.

268372980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 268372980 is about 16382.0932728391. The cubic root of 268372980 is about 645.0295281236.

It can be divided in two parts, 268 and 372980, that added together give a cube (373248 = 72³).

The spelling of 268372980 in words is "two hundred sixty-eight million, three hundred seventy-two thousand, nine hundred eighty".