966849618 has 128 divisors (see below), whose sum is σ = 2467584000. Its totient is φ = 246274560.

The previous prime is 966849613. The next prime is 966849629. The reversal of 966849618 is 816948669.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (966849613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 948313 + ... + 949331.

It is an arithmetic number, because the mean of its divisors is an integer number (19278000).

Almost surely, 2^966849618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966849618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

966849618 is an abundant number, since it is smaller than the sum of its proper divisors (1500734382).

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

966849618 is a wasteful number, since it uses less digits than its factorization.

966849618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120.

The product of its digits is 4478976, while the sum is 57.

The square root of 966849618 is about 31094.2055373666. The cubic root of 966849618 is about 988.8254676146.

The spelling of 966849618 in words is "nine hundred sixty-six million, eight hundred forty-nine thousand, six hundred eighteen".