7945632 has 72 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 2587776.

The previous prime is 7945621. The next prime is 7945633. The reversal of 7945632 is 2365497.

7945632 is a `hidden beast` number, since 7 + 94 + 563 + 2 = 666.

7945632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 7⁶ + 9² + 4¹¹ + 5⁹ + 6⁸ + 3⁶ + 2⁷ .

It is not an unprimeable number, because it can be changed into a prime (7945633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13243 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^7945632 is an apocalyptic number.

7945632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

7945632 is an abundant number, since it is smaller than the sum of its proper divisors (15169824).

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

7945632 is a wasteful number, since it uses less digits than its factorization.

7945632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 7945632 is about 2818.7997445721. The cubic root of 7945632 is about 199.5459030936.

The spelling of 7945632 in words is "seven million, nine hundred forty-five thousand, six hundred thirty-two".