97815648 has 192 divisors, whose sum is σ = 317399040. Its totient is φ = 25754112.

The previous prime is 97815643. The next prime is 97815649. The reversal of 97815648 is 84651879.

It is a super-3 number, since 3×97815648³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 97815597 and 97815606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97815643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 600015 + ... + 600177.

It is an arithmetic number, because the mean of its divisors is an integer number (1653120).

Almost surely, 2^97815648 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 97815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158699520).

97815648 is an abundant number, since it is smaller than the sum of its proper divisors (219583392).

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

97815648 is a wasteful number, since it uses less digits than its factorization.

97815648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 97815648 is about 9890.1793714775. The cubic root of 97815648 is about 460.7543514290.

It can be divided in two parts, 978 and 15648, that multiplied together give a square (15303744 = 3912²).

The spelling of 97815648 in words is "ninety-seven million, eight hundred fifteen thousand, six hundred forty-eight".