534193920 has 576 divisors, whose sum is σ = 2163369600. Its totient is φ = 123863040.

The previous prime is 534193909. The next prime is 534193921. The reversal of 534193920 is 29391435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 (534193921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13029100 + ... + 13029140.

It is an arithmetic number, because the mean of its divisors is an integer number (3755850).

Almost surely, 2^534193920 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 534193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081684800).

534193920 is an abundant number, since it is smaller than the sum of its proper divisors (1629175680).

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

534193920 is a wasteful number, since it uses less digits than its factorization.

534193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 534193920 is about 23112.6355052815. The cubic root of 534193920 is about 811.3962201704.

The spelling of 534193920 in words is "five hundred thirty-four million, one hundred ninety-three thousand, nine hundred twenty".