534185120 has 192 divisors, whose sum is σ = 1528450560. Its totient is φ = 172474368.

The previous prime is 534185117. The next prime is 534185131. The reversal of 534185120 is 21581435.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292524 + ... + 2292756.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^534185120 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 534185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

534185120 is an abundant number, since it is smaller than the sum of its proper divisors (994265440).

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

534185120 is a wasteful number, since it uses less digits than its factorization.

534185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 534185120 is about 23112.4451324389. The cubic root of 534185120 is about 811.3917646561.

The spelling of 534185120 in words is "five hundred thirty-four million, one hundred eighty-five thousand, one hundred twenty".