97483680 has 288 divisors, whose sum is σ = 400982400. Its totient is φ = 21067776.

The previous prime is 97483663. The next prime is 97483681. The reversal of 97483680 is 8638479.

It is a happy number.

97483680 is a `hidden beast` number, since 97 + 483 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (97483681) 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, 191266 + ... + 191774.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^97483680 is an apocalyptic number.

97483680 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 97483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

97483680 is an abundant number, since it is smaller than the sum of its proper divisors (303498720).

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

97483680 is a wasteful number, since it uses less digits than its factorization.

97483680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 97483680 is about 9873.3823991578. The cubic root of 97483680 is about 460.2325226454.

The spelling of 97483680 in words is "ninety-seven million, four hundred eighty-three thousand, six hundred eighty".