531898920 has 576 divisors, whose sum is σ = 2269512000. Its totient is φ = 110170368.

The previous prime is 531898919. The next prime is 531898921. The reversal of 531898920 is 29898135.

It is a happy number.

531898920 is a `hidden beast` number, since 531 + 8 + 98 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (531898919) and next prime (531898921).

It is a super-2 number, since 2×531898920² = 565832922194332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (531898921) 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 143 ways as a sum of consecutive naturals, for example, 23126029 + ... + 23126051.

It is an arithmetic number, because the mean of its divisors is an integer number (3940125).

Almost surely, 2^531898920 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 531898920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134756000).

531898920 is an abundant number, since it is smaller than the sum of its proper divisors (1737613080).

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

531898920 is a wasteful number, since it uses less digits than its factorization.

531898920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 531898920 is about 23062.9338983573. The cubic root of 531898920 is about 810.2325806735.

The spelling of 531898920 in words is "five hundred thirty-one million, eight hundred ninety-eight thousand, nine hundred twenty".