99696960 has 224 divisors, whose sum is σ = 384048000. Its totient is φ = 24145920.

The previous prime is 99696941. The next prime is 99696967. The reversal of 99696960 is 6969699.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 99696897 and 99696906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99696967) 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, 94516 + ... + 95564.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 2^99696960 is an apocalyptic number.

99696960 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 99696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024000).

99696960 is an abundant number, since it is smaller than the sum of its proper divisors (284351040).

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

99696960 is a wasteful number, since it uses less digits than its factorization.

99696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 99696960 is about 9984.8365034186. The cubic root of 99696960 is about 463.6895465888.

It can be divided in two parts, 9 and 9696960, that added together give a palindrome (9696969).

The spelling of 99696960 in words is "ninety-nine million, six hundred ninety-six thousand, nine hundred sixty".