1620384516 has 27 divisors (see below), whose sum is σ = 4096582581. Its totient is φ = 540047664.

The previous prime is 1620384509. The next prime is 1620384589. The reversal of 1620384516 is 6154830261.

It is a happy number.

The square root of 1620384516 is 40254.

It is a perfect power (a square), and thus also a powerful number.

1620384516 is a `hidden beast` number, since 1 + 62 + 0 + 3 + 84 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1072824516 + 547560000 = 32754^2 + 23400^2 .

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

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 8 ways as a sum of consecutive naturals, for example, 238170 + ... + 244878.

Almost surely, 2^1620384516 is an apocalyptic number.

1620384516 is the 40254-th square number.

It is an amenable number.

1620384516 is an abundant number, since it is smaller than the sum of its proper divisors (2476198065).

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

1620384516 is an frugal number, since it uses more digits than its factorization.

1620384516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13428 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 1620384516 is about 1174.5532065582.

Multiplying 1620384516 by its sum of digits (36), we get a square (58333842576 = 241524²).

1620384516 divided by its sum of digits (36) gives a square (45010681 = 6709²).

It can be divided in two parts, 1620384 and 516, that added together give a triangular number (1620900 = T₁₈₀₀).

The spelling of 1620384516 in words is "one billion, six hundred twenty million, three hundred eighty-four thousand, five hundred sixteen".