97727616 has 96 divisors (see below), whose sum is σ = 321422400. Its totient is φ = 27919872.

The previous prime is 97727599. The next prime is 97727629. The reversal of 97727616 is 61672779.

97727616 is a `hidden beast` number, since 9 + 7 + 7 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×97727616³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2005 + ... + 14123.

It is an arithmetic number, because the mean of its divisors is an integer number (3348150).

Almost surely, 2^97727616 is an apocalyptic number.

97727616 is a gapful number since it is divisible by the number (96) 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 97727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160711200).

97727616 is an abundant number, since it is smaller than the sum of its proper divisors (223694784).

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

97727616 is a wasteful number, since it uses less digits than its factorization.

97727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12131 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 97727616 is about 9885.7278942929. The cubic root of 97727616 is about 460.6160869079.

The spelling of 97727616 in words is "ninety-seven million, seven hundred twenty-seven thousand, six hundred sixteen".