1616389632 has 360 divisors, whose sum is σ = 5546853312. Its totient is φ = 450109440.

The previous prime is 1616389627. The next prime is 1616389633. The reversal of 1616389632 is 2369836161.

1616389632 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 3 + 8 + 9 + 632 = 666.

It is a super-2 number, since 2×1616389632² = 5225430884874190848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616389633) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7248273 + ... + 7248495.

Almost surely, 2^1616389632 is an apocalyptic number.

1616389632 is a gapful number since it is divisible by the number (12) 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 1616389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773426656).

1616389632 is an abundant number, since it is smaller than the sum of its proper divisors (3930463680).

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

1616389632 is a wasteful number, since it uses less digits than its factorization.

1616389632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1616389632 is about 40204.3484215327. The cubic root of 1616389632 is about 1173.5871673049.

The spelling of 1616389632 in words is "one billion, six hundred sixteen million, three hundred eighty-nine thousand, six hundred thirty-two".