1620225600 has 168 divisors, whose sum is σ = 6075200448. Its totient is φ = 370329600.

The previous prime is 1620225533. The next prime is 1620225601. The reversal of 1620225600 is 65220261.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1620225601) 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 23 ways as a sum of consecutive naturals, for example, 9490 + ... + 57710.

Almost surely, 2^1620225600 is an apocalyptic number.

1620225600 is a gapful number since it is divisible by the number (10) 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 1620225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037600224).

1620225600 is an abundant number, since it is smaller than the sum of its proper divisors (4454974848).

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

1620225600 is a wasteful number, since it uses less digits than its factorization.

1620225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48253 (or 48238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1620225600 is about 40252.0260359649. The cubic root of 1620225600 is about 1174.5148079769.

Adding to 1620225600 its reverse (65220261), we get a palindrome (1685445861).

The spelling of 1620225600 in words is "one billion, six hundred twenty million, two hundred twenty-five thousand, six hundred".