262423680 has 128 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 67706880.

The previous prime is 262423669. The next prime is 262423691. The reversal of 262423680 is 86324262.

It is an interprime number because it is at equal distance from previous prime (262423669) and next prime (262423691).

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

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, 57316 + ... + 61724.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^262423680 is an apocalyptic number.

262423680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

262423680 is the 13227-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

262423680 is an abundant number, since it is smaller than the sum of its proper divisors (601230720).

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

262423680 is a wasteful number, since it uses less digits than its factorization.

262423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 262423680 is about 16199.4962884653. The cubic root of 262423680 is about 640.2275232714.

The spelling of 262423680 in words is "two hundred sixty-two million, four hundred twenty-three thousand, six hundred eighty".