97393680 has 240 divisors, whose sum is σ = 354285360. Its totient is φ = 23887872.

The previous prime is 97393651. The next prime is 97393733. The reversal of 97393680 is 8639379.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4309776 + 93083904 = 2076^2 + 9648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 893466 + ... + 893574.

It is an arithmetic number, because the mean of its divisors is an integer number (1476189).

Almost surely, 2^97393680 is an apocalyptic number.

97393680 is a gapful number since it is divisible by the number (90) 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 97393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177142680).

97393680 is an abundant number, since it is smaller than the sum of its proper divisors (256891680).

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

97393680 is a wasteful number, since it uses less digits than its factorization.

97393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 97393680 is about 9868.8236381040. The cubic root of 97393680 is about 460.0908453218.

The spelling of 97393680 in words is "ninety-seven million, three hundred ninety-three thousand, six hundred eighty".