662256000 has 640 divisors, whose sum is σ = 2849520960. Its totient is φ = 149299200.

The previous prime is 662255999. The next prime is 662256011. The reversal of 662256000 is 652266.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071964 + ... + 9072036.

Almost surely, 2^662256000 is an apocalyptic number.

662256000 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 662256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424760480).

662256000 is an abundant number, since it is smaller than the sum of its proper divisors (2187264960).

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

662256000 is an equidigital number, since it uses as much as digits as its factorization.

662256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 662256000 is about 25734.3350409526. The cubic root of 662256000 is about 871.6496642784.

The spelling of 662256000 in words is "six hundred sixty-two million, two hundred fifty-six thousand".