945312624 has 120 divisors (see below), whose sum is σ = 2823546960. Its totient is φ = 294368256.

The previous prime is 945312617. The next prime is 945312629. The reversal of 945312624 is 426213549.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945312629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197362 + ... + 202094.

It is an arithmetic number, because the mean of its divisors is an integer number (23529558).

Almost surely, 2^945312624 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 945312624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411773480).

945312624 is an abundant number, since it is smaller than the sum of its proper divisors (1878234336).

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

945312624 is a wasteful number, since it uses less digits than its factorization.

945312624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4830 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 945312624 is about 30745.9367071488. The cubic root of 945312624 is about 981.4280942299.

The spelling of 945312624 in words is "nine hundred forty-five million, three hundred twelve thousand, six hundred twenty-four".