97868736 has 336 divisors, whose sum is σ = 355031040. Its totient is φ = 26127360.

The previous prime is 97868717. The next prime is 97868741. The reversal of 97868736 is 63786879.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (3048192) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157041 + ... + 3157071.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 2^97868736 is an apocalyptic number.

97868736 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 97868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

97868736 is an abundant number, since it is smaller than the sum of its proper divisors (257162304).

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

97868736 is a wasteful number, since it uses less digits than its factorization.

97868736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 97868736 is about 9892.8628818962. The cubic root of 97868736 is about 460.8376922293.

It can be divided in two parts, 9786873 and 6, that added together give a palindrome (9786879).

The spelling of 97868736 in words is "ninety-seven million, eight hundred sixty-eight thousand, seven hundred thirty-six".