97634448 has 120 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 30328320.

The previous prime is 97634447. The next prime is 97634473. The reversal of 97634448 is 84443679.

97634448 is a `hidden beast` number, since 9 + 7 + 634 + 4 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97634447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135433 + ... + 136151.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^97634448 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 97634448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

97634448 is an abundant number, since it is smaller than the sum of its proper divisors (194846832).

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

97634448 is a wasteful number, since it uses less digits than its factorization.

97634448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 97634448 is about 9881.0145228109. The cubic root of 97634448 is about 460.4696652308.

The spelling of 97634448 in words is "ninety-seven million, six hundred thirty-four thousand, four hundred forty-eight".