954416064 has 224 divisors, whose sum is σ = 2984601600. Its totient is φ = 263577600.

The previous prime is 954416059. The next prime is 954416069. The reversal of 954416064 is 460614459.

954416064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (954416059) and next prime (954416069).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (954416069) 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, 9449614 + ... + 9449714.

Almost surely, 2^954416064 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 954416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492300800).

954416064 is an abundant number, since it is smaller than the sum of its proper divisors (2030185536).

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

954416064 is a wasteful number, since it uses less digits than its factorization.

954416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 954416064 is about 30893.6249734472. The cubic root of 954416064 is about 984.5684467508.

The spelling of 954416064 in words is "nine hundred fifty-four million, four hundred sixteen thousand, sixty-four".