1620435168 has 144 divisors (see below), whose sum is σ = 5134461696. Its totient is φ = 480549120.

The previous prime is 1620435107. The next prime is 1620435217. The reversal of 1620435168 is 8615340261.

It is a happy number.

1620435168 is a `hidden beast` number, since 1 + 62 + 0 + 435 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143455 + ... + 154337.

It is an arithmetic number, because the mean of its divisors is an integer number (35655984).

Almost surely, 2^1620435168 is an apocalyptic number.

1620435168 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 1620435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567230848).

1620435168 is an abundant number, since it is smaller than the sum of its proper divisors (3514026528).

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

1620435168 is a wasteful number, since it uses less digits than its factorization.

1620435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957 (or 10946 counting only the distinct ones).

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

The square root of 1620435168 is about 40254.6291499499. The cubic root of 1620435168 is about 1174.5654449803.

The spelling of 1620435168 in words is "one billion, six hundred twenty million, four hundred thirty-five thousand, one hundred sixty-eight".