97824006 has 48 divisors (see below), whose sum is σ = 246355200. Its totient is φ = 27473904.

The previous prime is 97823993. The next prime is 97824017. The reversal of 97824006 is 60042879.

It is a super-2 number, since 2×97824006² = 19139072299776072, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 855 + ... + 14013.

It is an arithmetic number, because the mean of its divisors is an integer number (5132400).

Almost surely, 2^97824006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97824006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123177600).

97824006 is an abundant number, since it is smaller than the sum of its proper divisors (148531194).

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

97824006 is a wasteful number, since it uses less digits than its factorization.

97824006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13233 (or 13230 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97824006 is about 9890.6019028166. The cubic root of 97824006 is about 460.7674743300.

The spelling of 97824006 in words is "ninety-seven million, eight hundred twenty-four thousand, six".