1621872000 has 384 divisors, whose sum is σ = 6660763200. Its totient is φ = 370483200.

The previous prime is 1621871987. The next prime is 1621872011. The reversal of 1621872000 is 2781261.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1007196 + ... + 1008804.

Almost surely, 2^1621872000 is an apocalyptic number.

1621872000 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 1621872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330381600).

1621872000 is an abundant number, since it is smaller than the sum of its proper divisors (5038891200).

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

1621872000 is a wasteful number, since it uses less digits than its factorization.

1621872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1621872000 is about 40272.4719876990. The cubic root of 1621872000 is about 1174.9125029158.

The spelling of 1621872000 in words is "one billion, six hundred twenty-one million, eight hundred seventy-two thousand".