4637640 has 64 divisors (see below), whose sum is σ = 15903360. Its totient is φ = 1059840.

The previous prime is 4637639. The next prime is 4637657. The reversal of 4637640 is 467364.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 4637598 and 4637607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921 + ... + 3600.

It is an arithmetic number, because the mean of its divisors is an integer number (248490).

Almost surely, 2^4637640 is an apocalyptic number.

4637640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4637640 is an abundant number, since it is smaller than the sum of its proper divisors (11265720).

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

4637640 is a wasteful number, since it uses less digits than its factorization.

4637640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4637640 is about 2153.5180519327. The cubic root of 4637640 is about 166.7627357249.

The spelling of 4637640 in words is "four million, six hundred thirty-seven thousand, six hundred forty".