99827640 has 160 divisors (see below), whose sum is σ = 366165360. Its totient is φ = 24192000.

The previous prime is 99827627. The next prime is 99827641. The reversal of 99827640 is 4672899.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99827641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34240 + ... + 37040.

Almost surely, 2^99827640 is an apocalyptic number.

99827640 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 99827640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183082680).

99827640 is an abundant number, since it is smaller than the sum of its proper divisors (266337720).

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

99827640 is a wasteful number, since it uses less digits than its factorization.

99827640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 99827640 is about 9991.3782833001. The cubic root of 99827640 is about 463.8920552504.

The spelling of 99827640 in words is "ninety-nine million, eight hundred twenty-seven thousand, six hundred forty".