97656672 has 48 divisors (see below), whose sum is σ = 257826240. Its totient is φ = 32364672.

The previous prime is 97656667. The next prime is 97656677. The reversal of 97656672 is 27665679.

It is an interprime number because it is at equal distance from previous prime (97656667) and next prime (97656677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×97656672² = 19073651172231168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97656677) 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 7 ways as a sum of consecutive naturals, for example, 14343 + ... + 20025.

It is an arithmetic number, because the mean of its divisors is an integer number (5371380).

Almost surely, 2^97656672 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 97656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128913120).

97656672 is an abundant number, since it is smaller than the sum of its proper divisors (160169568).

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

97656672 is a wasteful number, since it uses less digits than its factorization.

97656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5867 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 97656672 is about 9882.1390397019. The cubic root of 97656672 is about 460.5046006512.

The spelling of 97656672 in words is "ninety-seven million, six hundred fifty-six thousand, six hundred seventy-two".