97506468 has 72 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 30830016.

The previous prime is 97506443. The next prime is 97506469. The reversal of 97506468 is 86460579.

It is a super-2 number, since 2×97506468² = 19015022603670048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97506469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60805 + ... + 62387.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2^97506468 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 97506468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

97506468 is an abundant number, since it is smaller than the sum of its proper divisors (161952732).

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

97506468 is a wasteful number, since it uses less digits than its factorization.

97506468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 97506468 is about 9874.5363435455. The cubic root of 97506468 is about 460.2683815078.

The spelling of 97506468 in words is "ninety-seven million, five hundred six thousand, four hundred sixty-eight".