97787040 has 96 divisors (see below), whose sum is σ = 331744896. Its totient is φ = 24069120.

The previous prime is 97787023. The next prime is 97787047. The reversal of 97787040 is 4078779.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97786983 and 97787001.

It is not an unprimeable number, because it can be changed into a prime (97787047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1596 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (3455676).

Almost surely, 2^97787040 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 97787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165872448).

97787040 is an abundant number, since it is smaller than the sum of its proper divisors (233957856).

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

97787040 is a wasteful number, since it uses less digits than its factorization.

97787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 15694 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 97787040 is about 9888.7329825413. The cubic root of 97787040 is about 460.7094283314.

The spelling of 97787040 in words is "ninety-seven million, seven hundred eighty-seven thousand, forty".