4097760 has 48 divisors (see below), whose sum is σ = 12909456. Its totient is φ = 1092608.

The previous prime is 4097741. The next prime is 4097767. The reversal of 4097760 is 677904.

4097760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097767) 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, 3789 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (268947).

Almost surely, 2^4097760 is an apocalyptic number.

4097760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4097760 is an abundant number, since it is smaller than the sum of its proper divisors (8811696).

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

4097760 is a wasteful number, since it uses less digits than its factorization.

4097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 4097760 is about 2024.2924689876. The cubic root of 4097760 is about 160.0229133851.

The spelling of 4097760 in words is "four million, ninety-seven thousand, seven hundred sixty".