4199760 has 120 divisors (see below), whose sum is σ = 14894880. Its totient is φ = 1057536.

The previous prime is 4199749. The next prime is 4199771. The reversal of 4199760 is 679914.

It is an interprime number because it is at equal distance from previous prime (4199749) and next prime (4199771).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13527 + ... + 13833.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

Almost surely, 2^4199760 is an apocalyptic number.

4199760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447440).

4199760 is an abundant number, since it is smaller than the sum of its proper divisors (10695120).

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

4199760 is a wasteful number, since it uses less digits than its factorization.

4199760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4199760 is about 2049.3315983510. The cubic root of 4199760 is about 161.3397913465.

The spelling of 4199760 in words is "four million, one hundred ninety-nine thousand, seven hundred sixty".