9902952 has 96 divisors (see below), whose sum is σ = 29260800. Its totient is φ = 3102624.

The previous prime is 9902951. The next prime is 9902983. The reversal of 9902952 is 2592099.

9902952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (9902951) 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, 77913 + ... + 78039.

It is an arithmetic number, because the mean of its divisors is an integer number (304800).

Almost surely, 2^9902952 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 9902952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630400).

9902952 is an abundant number, since it is smaller than the sum of its proper divisors (19357848).

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

9902952 is a wasteful number, since it uses less digits than its factorization.

9902952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9902952 is about 3146.8956131400. The cubic root of 9902952 is about 214.7442569376.

The spelling of 9902952 in words is "nine million, nine hundred two thousand, nine hundred fifty-two".