1616627376 has 640 divisors, whose sum is σ = 6299596800. Its totient is φ = 384860160.

The previous prime is 1616627371. The next prime is 1616627387. The reversal of 1616627376 is 6737266161.

1616627376 is a `hidden beast` number, since 1 + 6 + 16 + 627 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×1616627376² = 5226968145665290752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1616627371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27400435 + ... + 27400493.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^1616627376 is an apocalyptic number.

1616627376 is a gapful number since it is divisible by the number (16) 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 1616627376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

1616627376 is an abundant number, since it is smaller than the sum of its proper divisors (4682969424).

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

1616627376 is a wasteful number, since it uses less digits than its factorization.

1616627376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 1616627376 is about 40207.3050079211. The cubic root of 1616627376 is about 1173.6447028610.

The spelling of 1616627376 in words is "one billion, six hundred sixteen million, six hundred twenty-seven thousand, three hundred seventy-six".