99952000 has 64 divisors (see below), whose sum is σ = 248545440. Its totient is φ = 39974400.

The previous prime is 99951991. The next prime is 99952037. The reversal of 99952000 is 25999.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12877 + ... + 19123.

Almost surely, 2^99952000 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 99952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124272720).

99952000 is an abundant number, since it is smaller than the sum of its proper divisors (148593440).

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

99952000 is an equidigital number, since it uses as much as digits as its factorization.

99952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 99952000 is about 9997.5997119309. The cubic root of 99952000 is about 464.0846060543.

Adding to 99952000 its reverse (25999), we get a palindrome (99977999).

The spelling of 99952000 in words is "ninety-nine million, nine hundred fifty-two thousand".