99768480 has 192 divisors, whose sum is σ = 375072768. Its totient is φ = 21795840.

The previous prime is 99768433. The next prime is 99768481. The reversal of 99768480 is 8486799.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99768481) 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, 76635 + ... + 77925.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2^99768480 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 99768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187536384).

99768480 is an abundant number, since it is smaller than the sum of its proper divisors (275304288).

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

99768480 is a wasteful number, since it uses less digits than its factorization.

99768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 99768480 is about 9988.4172920438. The cubic root of 99768480 is about 463.8003996827.

The spelling of 99768480 in words is "ninety-nine million, seven hundred sixty-eight thousand, four hundred eighty".