99633240 has 320 divisors, whose sum is σ = 401448960. Its totient is φ = 21669120.

The previous prime is 99633227. The next prime is 99633293. The reversal of 99633240 is 4233699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 99633195 and 99633204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521545 + ... + 521735.

It is an arithmetic number, because the mean of its divisors is an integer number (1254528).

Almost surely, 2^99633240 is an apocalyptic number.

99633240 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 99633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200724480).

99633240 is an abundant number, since it is smaller than the sum of its proper divisors (301815720).

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

99633240 is a wasteful number, since it uses less digits than its factorization.

99633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 99633240 is about 9981.6451549832. The cubic root of 99633240 is about 463.5907385113.

It can be divided in two parts, 9963 and 3240, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 99633240 in words is "ninety-nine million, six hundred thirty-three thousand, two hundred forty".