1600413624 has 96 divisors (see below), whose sum is σ = 4583077200. Its totient is φ = 503124480.

The previous prime is 1600413611. The next prime is 1600413631. The reversal of 1600413624 is 4263140061.

1600413624 is a `hidden beast` number, since 1 + 600 + 4 + 1 + 36 + 24 = 666.

It is a super-2 number, since 2×1600413624² = 5122647535769626752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316234 + ... + 321254.

Almost surely, 2^1600413624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600413624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291538600).

1600413624 is an abundant number, since it is smaller than the sum of its proper divisors (2982663576).

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

1600413624 is a wasteful number, since it uses less digits than its factorization.

1600413624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1600413624 is about 40005.1699658932. The cubic root of 1600413624 is about 1169.7078735942.

Adding to 1600413624 its reverse (4263140061), we get a palindrome (5863553685).

The spelling of 1600413624 in words is "one billion, six hundred million, four hundred thirteen thousand, six hundred twenty-four".