97764576 has 288 divisors, whose sum is σ = 344107008. Its totient is φ = 23639040.

The previous prime is 97764551. The next prime is 97764577. The reversal of 97764576 is 67546779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97764577) 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 47 ways as a sum of consecutive naturals, for example, 3153681 + ... + 3153711.

It is an arithmetic number, because the mean of its divisors is an integer number (1194816).

Almost surely, 2^97764576 is an apocalyptic number.

97764576 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 97764576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

97764576 is an abundant number, since it is smaller than the sum of its proper divisors (246342432).

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

97764576 is a wasteful number, since it uses less digits than its factorization.

97764576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The square root of 97764576 is about 9887.5970791694. The cubic root of 97764576 is about 460.6741470057.

The spelling of 97764576 in words is "ninety-seven million, seven hundred sixty-four thousand, five hundred seventy-six".