1620739008 has 336 divisors, whose sum is σ = 5591738880. Its totient is φ = 439068672.

The previous prime is 1620738997. The next prime is 1620739049. The reversal of 1620739008 is 8009370261.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9704941 + ... + 9705107.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^1620739008 is an apocalyptic number.

1620739008 is a gapful number since it is divisible by the number (18) 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 1620739008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795869440).

1620739008 is an abundant number, since it is smaller than the sum of its proper divisors (3970999872).

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

1620739008 is a wasteful number, since it uses less digits than its factorization.

1620739008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1620739008 is about 40258.4029489497. The cubic root of 1620739008 is about 1174.6388527637.

The spelling of 1620739008 in words is "one billion, six hundred twenty million, seven hundred thirty-nine thousand, eight".