97596000 has 144 divisors (see below), whose sum is σ = 346495968. Its totient is φ = 26016000.

The previous prime is 97595983. The next prime is 97596013. The reversal of 97596000 is 69579.

It is a tau number, because it is divible by the number of its divisors (144).

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 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, 34645 + ... + 37355.

It is an arithmetic number, because the mean of its divisors is an integer number (2406222).

Almost surely, 2^97596000 is an apocalyptic number.

97596000 is a gapful number since it is divisible by the number (90) 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 97596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173247984).

97596000 is an abundant number, since it is smaller than the sum of its proper divisors (248899968).

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

97596000 is a wasteful number, since it uses less digits than its factorization.

97596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 97596000 is about 9879.0687820260. The cubic root of 97596000 is about 460.4092136774.

The spelling of 97596000 in words is "ninety-seven million, five hundred ninety-six thousand".