182506968 has 216 divisors, whose sum is σ = 614214900. Its totient is φ = 48803328.

The previous prime is 182506943. The next prime is 182506979. The reversal of 182506968 is 869605281.

182506968 is a `hidden beast` number, since 1 + 82 + 506 + 9 + 68 = 666.

182506968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1019503 + ... + 1019681.

Almost surely, 2^182506968 is an apocalyptic number.

182506968 is a gapful number since it is divisible by the number (18) 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 182506968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307107450).

182506968 is an abundant number, since it is smaller than the sum of its proper divisors (431707932).

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

182506968 is a wasteful number, since it uses less digits than its factorization.

182506968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 182506968 is about 13509.5139808951. The cubic root of 182506968 is about 567.2308159483.

The spelling of 182506968 in words is "one hundred eighty-two million, five hundred six thousand, nine hundred sixty-eight".