68182920 has 192 divisors, whose sum is σ = 252972720. Its totient is φ = 15777792.

The previous prime is 68182913. The next prime is 68182921. The reversal of 68182920 is 2928186.

It can be written as a sum of positive squares in 8 ways, for example, as 43322724 + 24860196 = 6582^2 + 4986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68182921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79132 + ... + 79988.

Almost surely, 2^68182920 is an apocalyptic number.

68182920 is a gapful number since it is divisible by the number (60) 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 68182920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486360).

68182920 is an abundant number, since it is smaller than the sum of its proper divisors (184789800).

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

68182920 is a wasteful number, since it uses less digits than its factorization.

68182920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68182920 is about 8257.2949565823. The cubic root of 68182920 is about 408.5311709192.

The spelling of 68182920 in words is "sixty-eight million, one hundred eighty-two thousand, nine hundred twenty".