4567640 has 64 divisors (see below), whose sum is σ = 12821760. Its totient is φ = 1422720.

The previous prime is 4567637. The next prime is 4567649. The reversal of 4567640 is 467654.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4567597 and 4567606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4567649) 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, 2339 + ... + 3821.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 2^4567640 is an apocalyptic number.

4567640 is a gapful number since it is divisible by the number (40) 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 4567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410880).

4567640 is an abundant number, since it is smaller than the sum of its proper divisors (8254120).

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

4567640 is a wasteful number, since it uses less digits than its factorization.

4567640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4567640 is about 2137.2037806442. The cubic root of 4567640 is about 165.9194460860.

The spelling of 4567640 in words is "four million, five hundred sixty-seven thousand, six hundred forty".