4967640 has 48 divisors (see below), whose sum is σ = 16146000. Its totient is φ = 1324608.

The previous prime is 4967629. The next prime is 4967647. The reversal of 4967640 is 467694.

4967640 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4967595 and 4967604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6540 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (336375).

Almost surely, 2^4967640 is an apocalyptic number.

4967640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4967640 is an abundant number, since it is smaller than the sum of its proper divisors (11178360).

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

4967640 is a wasteful number, since it uses less digits than its factorization.

4967640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13816 (or 13809 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4967640 is about 2228.8203157724. The cubic root of 4967640 is about 170.6278971452.

The spelling of 4967640 in words is "four million, nine hundred sixty-seven thousand, six hundred forty".