97738240 has 80 divisors (see below), whose sum is σ = 238007088. Its totient is φ = 38486016.

The previous prime is 97738237. The next prime is 97738241. The reversal of 97738240 is 4283779.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 97738193 and 97738202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97738241) 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, 186619 + ... + 187141.

Almost surely, 2^97738240 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 97738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119003544).

97738240 is an abundant number, since it is smaller than the sum of its proper divisors (140268848).

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

97738240 is an equidigital number, since it uses as much as digits as its factorization.

97738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 97738240 is about 9886.2652199908. The cubic root of 97738240 is about 460.6327775432.

The spelling of 97738240 in words is "ninety-seven million, seven hundred thirty-eight thousand, two hundred forty".