5634640 has 80 divisors (see below), whose sum is σ = 15088320. Its totient is φ = 1935360.

The previous prime is 5634637. The next prime is 5634641. The reversal of 5634640 is 464365.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 5634599 and 5634608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5634641) 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, 16552 + ... + 16888.

It is an arithmetic number, because the mean of its divisors is an integer number (188604).

Almost surely, 2^5634640 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 5634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544160).

5634640 is an abundant number, since it is smaller than the sum of its proper divisors (9453680).

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

5634640 is a wasteful number, since it uses less digits than its factorization.

5634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5634640 is about 2373.7396655910. The cubic root of 5634640 is about 177.9462026541.

The spelling of 5634640 in words is "five million, six hundred thirty-four thousand, six hundred forty".