622672000 has 64 divisors (see below), whose sum is σ = 1548158040. Its totient is φ = 249062400.

The previous prime is 622671997. The next prime is 622672007. The reversal of 622672000 is 276226.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72863296 + 549808704 = 8536^2 + 23448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 (622672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3459 + ... + 35458.

Almost surely, 2^622672000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 622672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774079020).

622672000 is an abundant number, since it is smaller than the sum of its proper divisors (925486040).

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

622672000 is an equidigital number, since it uses as much as digits as its factorization.

622672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38946 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 622672000 is about 24953.3965623921. The cubic root of 622672000 is about 853.9250995121.

The spelling of 622672000 in words is "six hundred twenty-two million, six hundred seventy-two thousand".