268972416 has 96 divisors (see below), whose sum is σ = 779688000. Its totient is φ = 88998912.

The previous prime is 268972387. The next prime is 268972463. The reversal of 268972416 is 614279862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170865 + ... + 172431.

It is an arithmetic number, because the mean of its divisors is an integer number (8121750).

Almost surely, 2^268972416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389844000).

268972416 is an abundant number, since it is smaller than the sum of its proper divisors (510715584).

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

268972416 is a wasteful number, since it uses less digits than its factorization.

268972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1721 counting only the distinct ones).

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

The square root of 268972416 is about 16400.3785322169. The cubic root of 268972416 is about 645.5094154817.

The spelling of 268972416 in words is "two hundred sixty-eight million, nine hundred seventy-two thousand, four hundred sixteen".