2906800 has 90 divisors (see below), whose sum is σ = 7737972. Its totient is φ = 1048320.

The previous prime is 2906747. The next prime is 2906801. The reversal of 2906800 is 86092.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2906801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67579 + ... + 67621.

2^2906800 is an apocalyptic number.

2906800 is a gapful number since it is divisible by the number (20) 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 2906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868986).

2906800 is an abundant number, since it is smaller than the sum of its proper divisors (4831172).

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

2906800 is a wasteful number, since it uses less digits than its factorization.

2906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2906800 is about 1704.9340163185. The cubic root of 2906800 is about 142.7156885524.

The spelling of 2906800 in words is "two million, nine hundred six thousand, eight hundred".