263964690 has 256 divisors, whose sum is σ = 822804480. Its totient is φ = 59616000.

The previous prime is 263964653. The next prime is 263964691. The reversal of 263964690 is 96469362.

263964690 is a `hidden beast` number, since 2 + 639 + 6 + 4 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×263964690² = 139354715133592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (263964691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4327260 + ... + 4327320.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^263964690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263964690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

263964690 is an abundant number, since it is smaller than the sum of its proper divisors (558839790).

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

263964690 is a wasteful number, since it uses less digits than its factorization.

263964690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 263964690 is about 16246.9901828000. The cubic root of 263964690 is about 641.4782642095.

The spelling of 263964690 in words is "two hundred sixty-three million, nine hundred sixty-four thousand, six hundred ninety".