618226800 has 120 divisors (see below), whose sum is σ = 2044392960. Its totient is φ = 159532800.

The previous prime is 618226793. The next prime is 618226849. The reversal of 618226800 is 8622816.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28891 + ... + 45509.

It is an arithmetic number, because the mean of its divisors is an integer number (17036608).

Almost surely, 2^618226800 is an apocalyptic number.

618226800 is a gapful number since it is divisible by the number (60) 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 618226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022196480).

618226800 is an abundant number, since it is smaller than the sum of its proper divisors (1426166160).

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

618226800 is a wasteful number, since it uses less digits than its factorization.

618226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16671 (or 16660 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 618226800 is about 24864.1669878562. The cubic root of 618226800 is about 851.8882129780. Note that the first 3 decimals are identical.

The spelling of 618226800 in words is "six hundred eighteen million, two hundred twenty-six thousand, eight hundred".