4126800 has 120 divisors (see below), whose sum is σ = 13992160. Its totient is φ = 1036800.

The previous prime is 4126799. The next prime is 4126807. The reversal of 4126800 is 86214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22710 + ... + 22890.

Almost surely, 2^4126800 is an apocalyptic number.

4126800 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 4126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996080).

4126800 is an abundant number, since it is smaller than the sum of its proper divisors (9865360).

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

4126800 is a wasteful number, since it uses less digits than its factorization.

4126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4126800 is about 2031.4526821957. The cubic root of 4126800 is about 160.4000406299.

The spelling of 4126800 in words is "four million, one hundred twenty-six thousand, eight hundred".