7646436 has 72 divisors (see below), whose sum is σ = 23266880. Its totient is φ = 2068416.

The previous prime is 7646423. The next prime is 7646437. The reversal of 7646436 is 6346467.

7646436 is a `hidden beast` number, since 7 + 6 + 4 + 643 + 6 = 666.

7646436 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 a self number, because there is not a number n which added to its sum of digits gives 7646436.

It is not an unprimeable number, because it can be changed into a prime (7646437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3990 + ... + 5586.

Almost surely, 2^7646436 is an apocalyptic number.

7646436 is a gapful number since it is divisible by the number (76) 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 7646436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633440).

7646436 is an abundant number, since it is smaller than the sum of its proper divisors (15620444).

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

7646436 is a wasteful number, since it uses less digits than its factorization.

7646436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1628 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 7646436 is about 2765.2189786706. The cubic root of 7646436 is about 197.0091297615.

The spelling of 7646436 in words is "seven million, six hundred forty-six thousand, four hundred thirty-six".