1620342900 has 288 divisors, whose sum is σ = 5755881600. Its totient is φ = 387763200.

The previous prime is 1620342883. The next prime is 1620342917. The reversal of 1620342900 is 92430261.

1620342900 is a `hidden beast` number, since 1 + 620 + 34 + 2 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1620342883) and next prime (1620342917).

It is a super-3 number, since 3×1620342900³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2642994 + ... + 2643606.

It is an arithmetic number, because the mean of its divisors is an integer number (19985700).

Almost surely, 2^1620342900 is an apocalyptic number.

1620342900 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 1620342900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877940800).

1620342900 is an abundant number, since it is smaller than the sum of its proper divisors (4135538700).

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

1620342900 is a wasteful number, since it uses less digits than its factorization.

1620342900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1620342900 is about 40253.4830791076. The cubic root of 1620342900 is about 1174.5431512032.

The spelling of 1620342900 in words is "one billion, six hundred twenty million, three hundred forty-two thousand, nine hundred".