99785952 has 144 divisors (see below), whose sum is σ = 338703120. Its totient is φ = 28498176.

The previous prime is 99785947. The next prime is 99785957. The reversal of 99785952 is 25958799.

It is an interprime number because it is at equal distance from previous prime (99785947) and next prime (99785957).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99785957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41158 + ... + 43514.

It is an arithmetic number, because the mean of its divisors is an integer number (2352105).

Almost surely, 2^99785952 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 99785952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169351560).

99785952 is an abundant number, since it is smaller than the sum of its proper divisors (238917168).

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

99785952 is a wasteful number, since it uses less digits than its factorization.

99785952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2369 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The square root of 99785952 is about 9989.2918667942. The cubic root of 99785952 is about 463.8274725204.

The spelling of 99785952 in words is "ninety-nine million, seven hundred eighty-five thousand, nine hundred fifty-two".