66249108 has 144 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 19514880.

The previous prime is 66249101. The next prime is 66249109. The reversal of 66249108 is 80194266.

66249108 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

66249108 is a modest number, since divided by 9108 gives 6624 as remainder.

66249108 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66249101) 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, 744328 + ... + 744416.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^66249108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66249108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

66249108 is an abundant number, since it is smaller than the sum of its proper divisors (122448492).

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

66249108 is a wasteful number, since it uses less digits than its factorization.

66249108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 66249108 is about 8139.3555027410. The cubic root of 66249108 is about 404.6318007041.

It can be divided in two parts, 662 and 49108, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 66249108 in words is "sixty-six million, two hundred forty-nine thousand, one hundred eight".