97695720 has 288 divisors, whose sum is σ = 362325600. Its totient is φ = 23607936.

The previous prime is 97695713. The next prime is 97695721. The reversal of 97695720 is 2759679.

97695720 is a `hidden beast` number, since 9 + 76 + 9 + 572 + 0 = 666.

It is a super-3 number, since 3×97695720³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (97695721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4247629 + ... + 4247651.

It is an arithmetic number, because the mean of its divisors is an integer number (1258075).

Almost surely, 2^97695720 is an apocalyptic number.

97695720 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 97695720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181162800).

97695720 is an abundant number, since it is smaller than the sum of its proper divisors (264629880).

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

97695720 is a wasteful number, since it uses less digits than its factorization.

97695720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 97695720 is about 9884.1145278674. The cubic root of 97695720 is about 460.5659700287.

The spelling of 97695720 in words is "ninety-seven million, six hundred ninety-five thousand, seven hundred twenty".