97705440 has 288 divisors, whose sum is σ = 396264960. Its totient is φ = 22270464.

The previous prime is 97705427. The next prime is 97705451. The reversal of 97705440 is 4450779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97705395 and 97705404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271981 + ... + 272339.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^97705440 is an apocalyptic number.

97705440 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 97705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

97705440 is an abundant number, since it is smaller than the sum of its proper divisors (298559520).

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

97705440 is a wasteful number, since it uses less digits than its factorization.

97705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 97705440 is about 9884.6062137042. The cubic root of 97705440 is about 460.5812438223.

The spelling of 97705440 in words is "ninety-seven million, seven hundred five thousand, four hundred forty".