649632 has 48 divisors (see below), whose sum is σ = 1747872. Its totient is φ = 211200.

The previous prime is 649631. The next prime is 649633. The reversal of 649632 is 236946.

It is an interprime number because it is at equal distance from previous prime (649631) and next prime (649633).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 649632.

It is not an unprimeable number, because it can be changed into a prime (649631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6382 + ... + 6482.

It is an arithmetic number, because the mean of its divisors is an integer number (36414).

2⁶⁴⁹⁶³² 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 649632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873936).

649632 is an abundant number, since it is smaller than the sum of its proper divisors (1098240).

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

649632 is a wasteful number, since it uses less digits than its factorization.

649632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 649632 is about 805.9975186066. The cubic root of 649632 is about 86.6075599613.

Subtracting from 649632 its reverse (236946), we obtain a triangular number (412686 = T₉₀₈).

It can be divided in two parts, 6 and 49632, that multiplied together give a palindrome (297792).

The spelling of 649632 in words is "six hundred forty-nine thousand, six hundred thirty-two".