4097640 has 32 divisors (see below), whose sum is σ = 12293280. Its totient is φ = 1092672.

The previous prime is 4097633. The next prime is 4097647. The reversal of 4097640 is 467904.

4097640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4097633) and next prime (4097647).

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 = 4097598 and 4097607.

It is not an unprimeable number, because it can be changed into a prime (4097647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16954 + ... + 17193.

It is an arithmetic number, because the mean of its divisors is an integer number (384165).

Almost surely, 2^4097640 is an apocalyptic number.

4097640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4097640 is an abundant number, since it is smaller than the sum of its proper divisors (8195640).

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

4097640 is a wasteful number, since it uses less digits than its factorization.

4097640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34161 (or 34157 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4097640 is about 2024.2628287848. The cubic root of 4097640 is about 160.0213513173.

The spelling of 4097640 in words is "four million, ninety-seven thousand, six hundred forty".