7921632 has 96 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 2419200.

The previous prime is 7921631. The next prime is 7921679. The reversal of 7921632 is 2361297.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 7⁸ + 9² + 2⁹ + 1 + 6² + 3¹⁰ + 2²¹ .

Its product of digits (4536) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 7921632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7921631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78382 + ... + 78482.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 2^7921632 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 7921632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

7921632 is an abundant number, since it is smaller than the sum of its proper divisors (14697888).

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

7921632 is a wasteful number, since it uses less digits than its factorization.

7921632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 7921632 is about 2814.5393939329. The cubic root of 7921632 is about 199.3447891712.

The spelling of 7921632 in words is "seven million, nine hundred twenty-one thousand, six hundred thirty-two".