4268640 has 48 divisors (see below), whose sum is σ = 13447728. Its totient is φ = 1138176.

The previous prime is 4268623. The next prime is 4268647. The reversal of 4268640 is 468624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×4268640³ (a number of 21 digits) contains 333 as substring.

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 = 4268598 and 4268607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3967 + ... + 4926.

It is an arithmetic number, because the mean of its divisors is an integer number (280161).

Almost surely, 2^4268640 is an apocalyptic number.

4268640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4268640 is an abundant number, since it is smaller than the sum of its proper divisors (9179088).

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

4268640 is a wasteful number, since it uses less digits than its factorization.

4268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4268640 is about 2066.0687307057. The cubic root of 4268640 is about 162.2170539696.

The spelling of 4268640 in words is "four million, two hundred sixty-eight thousand, six hundred forty".