1616474880 has 216 divisors, whose sum is σ = 5801092752. Its totient is φ = 430977024.

The previous prime is 1616474851. The next prime is 1616474887. The reversal of 1616474880 is 884746161.

1616474880 is a `hidden beast` number, since 1 + 6 + 164 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1616474880² = 5225982075342028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1616474887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308442 + ... + 313638.

Almost surely, 2^1616474880 is an apocalyptic number.

1616474880 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 1616474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900546376).

1616474880 is an abundant number, since it is smaller than the sum of its proper divisors (4184617872).

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

1616474880 is an frugal number, since it uses more digits than its factorization.

1616474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1616474880 is about 40205.4085913823. The cubic root of 1616474880 is about 1173.6077985104.

The spelling of 1616474880 in words is "one billion, six hundred sixteen million, four hundred seventy-four thousand, eight hundred eighty".