269849664 has 168 divisors, whose sum is σ = 923117280. Its totient is φ = 77075712.

The previous prime is 269849641. The next prime is 269849681. The reversal of 269849664 is 466948962.

269849664 is a `hidden beast` number, since 2 + 6 + 98 + 496 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 269849664.

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, 83079 + ... + 86265.

Almost surely, 2^269849664 is an apocalyptic number.

269849664 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 269849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461558640).

269849664 is an abundant number, since it is smaller than the sum of its proper divisors (653267616).

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

269849664 is a wasteful number, since it uses less digits than its factorization.

269849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3199 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 269849664 is about 16427.1015093960. The cubic root of 269849664 is about 646.2104258148.

The spelling of 269849664 in words is "two hundred sixty-nine million, eight hundred forty-nine thousand, six hundred sixty-four".