182493864 has 128 divisors (see below), whose sum is σ = 584236800. Its totient is φ = 51701760.

The previous prime is 182493853. The next prime is 182493881. The reversal of 182493864 is 468394281.

It is a happy number.

182493864 is a `hidden beast` number, since 1 + 82 + 493 + 86 + 4 = 666.

It is a super-3 number, since 3×182493864³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206704 + ... + 207584.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2^182493864 is an apocalyptic number.

182493864 is a gapful number since it is divisible by the number (14) 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 182493864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292118400).

182493864 is an abundant number, since it is smaller than the sum of its proper divisors (401742936).

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

182493864 is a wasteful number, since it uses less digits than its factorization.

182493864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 182493864 is about 13509.0289806485. The cubic root of 182493864 is about 567.2172398995.

The spelling of 182493864 in words is "one hundred eighty-two million, four hundred ninety-three thousand, eight hundred sixty-four".