97920000 has 330 divisors, whose sum is σ = 374097438. Its totient is φ = 24576000.

The previous prime is 97919989. The next prime is 97920001. The reversal of 97920000 is 2979.

It can be written as a sum of positive squares in 5 ways, for example, as 24920064 + 72999936 = 4992^2 + 8544^2 .

It is not an unprimeable number, because it can be changed into a prime (97920001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759992 + ... + 5760008.

Almost surely, 2^97920000 is an apocalyptic number.

97920000 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 97920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187048719).

97920000 is an abundant number, since it is smaller than the sum of its proper divisors (276177438).

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

97920000 is a wasteful number, since it uses less digits than its factorization.

97920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97920000 is about 9895.4535014824. The cubic root of 97920000 is about 460.9181410044.

Adding to 97920000 its reverse (2979), we get a palindrome (97922979).

The spelling of 97920000 in words is "ninety-seven million, nine hundred twenty thousand".