97662672 has 80 divisors (see below), whose sum is σ = 283890560. Its totient is φ = 32542560.

The previous prime is 97662667. The next prime is 97662689. The reversal of 97662672 is 27626679.

It is a congruent number.

It is an unprimeable number.

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, 33597 + ... + 36387.

It is an arithmetic number, because the mean of its divisors is an integer number (3548632).

Almost surely, 2^97662672 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 97662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141945280).

97662672 is an abundant number, since it is smaller than the sum of its proper divisors (186227888).

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

97662672 is an equidigital number, since it uses as much as digits as its factorization.

97662672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2796 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 97662672 is about 9882.4426130385. The cubic root of 97662672 is about 460.5140315516.

The spelling of 97662672 in words is "ninety-seven million, six hundred sixty-two thousand, six hundred seventy-two".