97720896 has 336 divisors, whose sum is σ = 350251776. Its totient is φ = 23740416.

The previous prime is 97720873. The next prime is 97720957. The reversal of 97720896 is 69802779.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2079145 + ... + 2079191.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 2^97720896 is an apocalyptic number.

97720896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888).

97720896 is an abundant number, since it is smaller than the sum of its proper divisors (252530880).

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

97720896 is a wasteful number, since it uses less digits than its factorization.

97720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 97720896 is about 9885.3880045247. The cubic root of 97720896 is about 460.6055289537.

The spelling of 97720896 in words is "ninety-seven million, seven hundred twenty thousand, eight hundred ninety-six".