263081664 has 168 divisors, whose sum is σ = 812371248. Its totient is φ = 81100800.

The previous prime is 263081653. The next prime is 263081677. The reversal of 263081664 is 466180362.

263081664 is a `hidden beast` number, since 2 + 630 + 8 + 16 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 655864 + ... + 656264.

Almost surely, 2^263081664 is an apocalyptic number.

263081664 is a gapful number since it is divisible by the number (24) 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 263081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406185624).

263081664 is an abundant number, since it is smaller than the sum of its proper divisors (549289584).

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

263081664 is a wasteful number, since it uses less digits than its factorization.

263081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 263081664 is about 16219.7923537880. The cubic root of 263081664 is about 640.7621649074.

It can be divided in two parts, 26308 and 1664, that added together give a palindrome (27972).

The spelling of 263081664 in words is "two hundred sixty-three million, eighty-one thousand, six hundred sixty-four".