9952416 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3317184.

The previous prime is 9952403. The next prime is 9952417. The reversal of 9952416 is 6142599.

9952416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (9952417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4896 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^9952416 is an apocalyptic number.

9952416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9952416 is an abundant number, since it is smaller than the sum of its proper divisors (19077984).

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

9952416 is a wasteful number, since it uses less digits than its factorization.

9952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11538 (or 11524 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 9952416 is about 3154.7449976187. The cubic root of 9952416 is about 215.1012034814.

The spelling of 9952416 in words is "nine million, nine hundred fifty-two thousand, four hundred sixteen".