97537440 has 576 divisors, whose sum is σ = 434367360. Its totient is φ = 18063360.

The previous prime is 97537423. The next prime is 97537441. The reversal of 97537440 is 4473579.

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 (97537441) 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 95 ways as a sum of consecutive naturals, for example, 3363346 + ... + 3363374.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^97537440 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 97537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

97537440 is an abundant number, since it is smaller than the sum of its proper divisors (336829920).

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

97537440 is a wasteful number, since it uses less digits than its factorization.

97537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 97537440 is about 9876.1044951944. The cubic root of 97537440 is about 460.3171096367.

The spelling of 97537440 in words is "ninety-seven million, five hundred thirty-seven thousand, four hundred forty".