1620268000 has 96 divisors (see below), whose sum is σ = 4287366720. Its totient is φ = 598233600.

The previous prime is 1620267953. The next prime is 1620268009. The reversal of 1620268000 is 8620261.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620268009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36421 + ... + 67579.

It is an arithmetic number, because the mean of its divisors is an integer number (44660070).

Almost surely, 2^1620268000 is an apocalyptic number.

1620268000 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 1620268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143683360).

1620268000 is an abundant number, since it is smaller than the sum of its proper divisors (2667098720).

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

1620268000 is a wasteful number, since it uses less digits than its factorization.

1620268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31197 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1620268000 is about 40252.5527140826. The cubic root of 1620268000 is about 1174.5250532566.

Adding to 1620268000 its reverse (8620261), we get a palindrome (1628888261).

The spelling of 1620268000 in words is "one billion, six hundred twenty million, two hundred sixty-eight thousand".