97876064 has 96 divisors (see below), whose sum is σ = 230265504. Its totient is φ = 40366080.

The previous prime is 97876057. The next prime is 97876067. The reversal of 97876064 is 46067879.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97876067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333902 + ... + 334194.

It is an arithmetic number, because the mean of its divisors is an integer number (2398599).

Almost surely, 2^97876064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97876064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115132752).

97876064 is an abundant number, since it is smaller than the sum of its proper divisors (132389440).

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

97876064 is a wasteful number, since it uses less digits than its factorization.

97876064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 97876064 is about 9893.2332429798. The cubic root of 97876064 is about 460.8491938060.

It can be divided in two parts, 9787 and 6064, that added together give a palindrome (15851).

The spelling of 97876064 in words is "ninety-seven million, eight hundred seventy-six thousand, sixty-four".