1649664 has 66 divisors (see below), whose sum is σ = 4789980. Its totient is φ = 546816.

The previous prime is 1649657. The next prime is 1649671. The reversal of 1649664 is 4669461.

1649664 is a `hidden beast` number, since 1 + 649 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1649657) and next prime (1649671).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9127 + ... + 9305.

2^1649664 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 1649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394990).

1649664 is an abundant number, since it is smaller than the sum of its proper divisors (3140316).

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

1649664 is a wasteful number, since it uses less digits than its factorization.

1649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

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

The square root of 1649664 is about 1284.3924633849. The cubic root of 1649664 is about 118.1585534984.

The spelling of 1649664 in words is "one million, six hundred forty-nine thousand, six hundred sixty-four".