99393840 has 480 divisors, whose sum is σ = 432222336. Its totient is φ = 19906560.

The previous prime is 99393829. The next prime is 99393859. The reversal of 99393840 is 4839399.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2424220 + ... + 2424260.

Almost surely, 2^99393840 is an apocalyptic number.

99393840 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 99393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

99393840 is an abundant number, since it is smaller than the sum of its proper divisors (332828496).

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

99393840 is a wasteful number, since it uses less digits than its factorization.

99393840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 99393840 is about 9969.6459315264. The cubic root of 99393840 is about 463.2191335041.

The spelling of 99393840 in words is "ninety-nine million, three hundred ninety-three thousand, eight hundred forty".