263141640 has 384 divisors, whose sum is σ = 997401600. Its totient is φ = 59719680.

The previous prime is 263141581. The next prime is 263141699. The reversal of 263141640 is 46141362.

263141640 is a `hidden beast` number, since 2 + 6 + 3 + 14 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (263141581) and next prime (263141699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3604644 + ... + 3604716.

It is an arithmetic number, because the mean of its divisors is an integer number (2597400).

Almost surely, 2^263141640 is an apocalyptic number.

263141640 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 263141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498700800).

263141640 is an abundant number, since it is smaller than the sum of its proper divisors (734259960).

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

263141640 is a wasteful number, since it uses less digits than its factorization.

263141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 263141640 is about 16221.6411007025. The cubic root of 263141640 is about 640.8108537581.

The spelling of 263141640 in words is "two hundred sixty-three million, one hundred forty-one thousand, six hundred forty".