7366632 has 64 divisors (see below), whose sum is σ = 22673280. Its totient is φ = 1942272.

The previous prime is 7366621. The next prime is 7366633. The reversal of 7366632 is 2366637.

7366632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (27216) is a multiple of the sum of its prime factors (3402).

It is a junction number, because it is equal to n+sod(n) for n = 7366593 and 7366602.

It is not an unprimeable number, because it can be changed into a prime (7366633) 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, 498 + ... + 3870.

It is an arithmetic number, because the mean of its divisors is an integer number (354270).

Almost surely, 2^7366632 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 7366632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11336640).

7366632 is an abundant number, since it is smaller than the sum of its proper divisors (15306648).

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

7366632 is a wasteful number, since it uses less digits than its factorization.

7366632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3398 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 7366632 is about 2714.1540118424. The cubic root of 7366632 is about 194.5761735107.

The spelling of 7366632 in words is "seven million, three hundred sixty-six thousand, six hundred thirty-two".