84649664 has 84 divisors (see below), whose sum is σ = 195800472. Its totient is φ = 36157440.

The previous prime is 84649661. The next prime is 84649667. The reversal of 84649664 is 46694648.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84649661) and next prime (84649667).

It is not an unprimeable number, because it can be changed into a prime (84649661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131327 + ... + 131969.

It is an arithmetic number, because the mean of its divisors is an integer number (2330958).

Almost surely, 2^84649664 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 84649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97900236).

84649664 is an abundant number, since it is smaller than the sum of its proper divisors (111150808).

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

84649664 is a wasteful number, since it uses less digits than its factorization.

84649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The square root of 84649664 is about 9200.5252024001. The cubic root of 84649664 is about 439.0780696319.

The spelling of 84649664 in words is "eighty-four million, six hundred forty-nine thousand, six hundred sixty-four".