262020880 has 80 divisors (see below), whose sum is σ = 673171200. Its totient is φ = 94049280.

The previous prime is 262020877. The next prime is 262020883. The reversal of 262020880 is 88020262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (262020877) and next prime (262020883).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (262020883) 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, 67636 + ... + 71404.

It is an arithmetic number, because the mean of its divisors is an integer number (8414640).

Almost surely, 2^262020880 is an apocalyptic number.

262020880 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 262020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336585600).

262020880 is an abundant number, since it is smaller than the sum of its proper divisors (411150320).

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

262020880 is a wasteful number, since it uses less digits than its factorization.

262020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 262020880 is about 16187.0590287427. The cubic root of 262020880 is about 639.8997889973.

The spelling of 262020880 in words is "two hundred sixty-two million, twenty thousand, eight hundred eighty".