97743760 has 40 divisors (see below), whose sum is σ = 229523256. Its totient is φ = 38707200.

The previous prime is 97743749. The next prime is 97743769. The reversal of 97743760 is 6734779.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 88887184 = 2976^2 + 9428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (97743769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2032 + ... + 14128.

Almost surely, 2^97743760 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 97743760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114761628).

97743760 is an abundant number, since it is smaller than the sum of its proper divisors (131779496).

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

97743760 is a wasteful number, since it uses less digits than its factorization.

97743760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 43.

The square root of 97743760 is about 9886.5443912421. The cubic root of 97743760 is about 460.6414491578.

The spelling of 97743760 in words is "ninety-seven million, seven hundred forty-three thousand, seven hundred sixty".