66292380 has 144 divisors (see below), whose sum is σ = 250758144. Its totient is φ = 13772160.

The previous prime is 66292357. The next prime is 66292397. The reversal of 66292380 is 8329266.

66292380 is a `hidden beast` number, since 6 + 629 + 23 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11469 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (1741376).

Almost surely, 2^66292380 is an apocalyptic number.

66292380 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 66292380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125379072).

66292380 is an abundant number, since it is smaller than the sum of its proper divisors (184465764).

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

66292380 is a wasteful number, since it uses less digits than its factorization.

66292380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66292380 is about 8142.0132645434. The cubic root of 66292380 is about 404.7198794573.

It can be divided in two parts, 6629 and 2380, that added together give a palindrome (9009).

The spelling of 66292380 in words is "sixty-six million, two hundred ninety-two thousand, three hundred eighty".