97911840 has 288 divisors, whose sum is σ = 358598016. Its totient is φ = 22364160.

The previous prime is 97911839. The next prime is 97911841. The reversal of 97911840 is 4811979.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97911839) and next prime (97911841).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97911841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1379005 + ... + 1379075.

It is an arithmetic number, because the mean of its divisors is an integer number (1245132).

Almost surely, 2^97911840 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 97911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179299008).

97911840 is an abundant number, since it is smaller than the sum of its proper divisors (260686176).

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

97911840 is a wasteful number, since it uses less digits than its factorization.

97911840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 97911840 is about 9895.0411823297. The cubic root of 97911840 is about 460.9053373671.

The spelling of 97911840 in words is "ninety-seven million, nine hundred eleven thousand, eight hundred forty".