1620035640 has 160 divisors (see below), whose sum is σ = 5497184880. Its totient is φ = 427880448.

The previous prime is 1620035617. The next prime is 1620035731. The reversal of 1620035640 is 465300261.

1620035640 is a `hidden beast` number, since 1 + 620 + 0 + 35 + 6 + 4 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 344344 + ... + 349016.

Almost surely, 2^1620035640 is an apocalyptic number.

1620035640 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 1620035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748592440).

1620035640 is an abundant number, since it is smaller than the sum of its proper divisors (3877149240).

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

1620035640 is a wasteful number, since it uses less digits than its factorization.

1620035640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1620035640 is about 40249.6663340207. Note that the first 3 decimals coincide. The cubic root of 1620035640 is about 1174.4689049963.

The spelling of 1620035640 in words is "one billion, six hundred twenty million, thirty-five thousand, six hundred forty".