66049000 has 48 divisors (see below), whose sum is σ = 155158380. Its totient is φ = 26316800.

The previous prime is 66048973. The next prime is 66049019. The reversal of 66049000 is 94066.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 36650916 + 29398084 = 6054^2 + 5422^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256872 + ... + 257128.

Almost surely, 2^66049000 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 66049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77579190).

66049000 is an abundant number, since it is smaller than the sum of its proper divisors (89109380).

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

66049000 is an equidigital number, since it uses as much as digits as its factorization.

66049000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 66049000 is about 8127.0535866327. The cubic root of 66049000 is about 404.2239878077.

The spelling of 66049000 in words is "sixty-six million, forty-nine thousand".