99952440 has 128 divisors (see below), whose sum is σ = 344770560. Its totient is φ = 22708224.

The previous prime is 99952439. The next prime is 99952441. The reversal of 99952440 is 4425999.

It is an interprime number because it is at equal distance from previous prime (99952439) and next prime (99952441).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 99952392 and 99952401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99952441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215649 + ... + 216111.

It is an arithmetic number, because the mean of its divisors is an integer number (2693520).

Almost surely, 2^99952440 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 99952440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172385280).

99952440 is an abundant number, since it is smaller than the sum of its proper divisors (244818120).

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

99952440 is a wasteful number, since it uses less digits than its factorization.

99952440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 99952440 is about 9997.6217171885. The cubic root of 99952440 is about 464.0852870376.

The spelling of 99952440 in words is "ninety-nine million, nine hundred fifty-two thousand, four hundred forty".