97359840 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 25090560.

The previous prime is 97359811. The next prime is 97359841. The reversal of 97359840 is 4895379.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97359841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133557 + ... + 134283.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^97359840 is an apocalyptic number.

97359840 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 97359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

97359840 is an abundant number, since it is smaller than the sum of its proper divisors (254875680).

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

97359840 is a wasteful number, since it uses less digits than its factorization.

97359840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 97359840 is about 9867.1089990939. The cubic root of 97359840 is about 460.0375520698.

The spelling of 97359840 in words is "ninety-seven million, three hundred fifty-nine thousand, eight hundred forty".