97511616 has 168 divisors, whose sum is σ = 297549824. Its totient is φ = 30481920.

The previous prime is 97511597. The next prime is 97511633. The reversal of 97511616 is 61611579.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767745 + ... + 767871.

Almost surely, 2^97511616 is an apocalyptic number.

97511616 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 97511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148774912).

97511616 is an abundant number, since it is smaller than the sum of its proper divisors (200038208).

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

97511616 is a wasteful number, since it uses less digits than its factorization.

97511616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 97511616 is about 9874.7970105719. The cubic root of 97511616 is about 460.2764815514.

The spelling of 97511616 in words is "ninety-seven million, five hundred eleven thousand, six hundred sixteen".