1620972000 has 240 divisors, whose sum is σ = 5950696752. Its totient is φ = 432172800.

The previous prime is 1620971999. The next prime is 1620972011. The reversal of 1620972000 is 2790261.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 321499 + ... + 326501.

Almost surely, 2^1620972000 is an apocalyptic number.

1620972000 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 1620972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975348376).

1620972000 is an abundant number, since it is smaller than the sum of its proper divisors (4329724752).

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

1620972000 is an equidigital number, since it uses as much as digits as its factorization.

1620972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1620972000 is about 40261.2965514028. The cubic root of 1620972000 is about 1174.6951374464.

It can be divided in two parts, 16209 and 72000, that added together give a square (88209 = 297²).

The spelling of 1620972000 in words is "one billion, six hundred twenty million, nine hundred seventy-two thousand".