1620734976 has 396 divisors, whose sum is σ = 5648663748. Its totient is φ = 445906944.

The previous prime is 1620734867. The next prime is 1620734989. The reversal of 1620734976 is 6794370261.

It can be written as a sum of positive squares in 2 ways, for example, as 1128960000 + 491774976 = 33600^2 + 22176^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16708560 + ... + 16708656.

Almost surely, 2^1620734976 is an apocalyptic number.

1620734976 is a gapful number since it is divisible by the number (16) 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 1620734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824331874).

1620734976 is an abundant number, since it is smaller than the sum of its proper divisors (4027928772).

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

1620734976 is a wasteful number, since it uses less digits than its factorization.

1620734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1620734976 is about 40258.3528724164. The cubic root of 1620734976 is about 1174.6378786921.

The spelling of 1620734976 in words is "one billion, six hundred twenty million, seven hundred thirty-four thousand, nine hundred seventy-six".