534248640 has 168 divisors, whose sum is σ = 1856463648. Its totient is φ = 141004800.

The previous prime is 534248629. The next prime is 534248657. The reversal of 534248640 is 46842435.

534248640 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 4 + 8 + 640 = 666.

It is a super-3 number, since 3×534248640³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 534248595 and 534248604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295740 + ... + 297540.

Almost surely, 2^534248640 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 534248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928231824).

534248640 is an abundant number, since it is smaller than the sum of its proper divisors (1322215008).

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

534248640 is a wasteful number, since it uses less digits than its factorization.

534248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 534248640 is about 23113.8192430416. The cubic root of 534248640 is about 811.4239242703.

The spelling of 534248640 in words is "five hundred thirty-four million, two hundred forty-eight thousand, six hundred forty".