934242624 has 252 divisors, whose sum is σ = 3161995200. Its totient is φ = 262918656.

The previous prime is 934242623. The next prime is 934242653. The reversal of 934242624 is 426242439.

934242624 is a `hidden beast` number, since 9 + 3 + 4 + 24 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934242623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2229487 + ... + 2229905.

It is an arithmetic number, because the mean of its divisors is an integer number (12547600).

Almost surely, 2^934242624 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 934242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580997600).

934242624 is an abundant number, since it is smaller than the sum of its proper divisors (2227752576).

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

934242624 is a wasteful number, since it uses less digits than its factorization.

934242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 934242624 is about 30565.3827720184. The cubic root of 934242624 is about 977.5820664000.

The spelling of 934242624 in words is "nine hundred thirty-four million, two hundred forty-two thousand, six hundred twenty-four".