526163040 has 336 divisors, whose sum is σ = 2012886288. Its totient is φ = 129143808.

The previous prime is 526162997. The next prime is 526163063. The reversal of 526163040 is 40361625.

526163040 is a `hidden beast` number, since 5 + 2 + 616 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 526162995 and 526163013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516147 + ... + 1516493.

It is an arithmetic number, because the mean of its divisors is an integer number (5990733).

Almost surely, 2^526163040 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 526163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006443144).

526163040 is an abundant number, since it is smaller than the sum of its proper divisors (1486723248).

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

526163040 is a wasteful number, since it uses less digits than its factorization.

526163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 526163040 is about 22938.2440478778. The cubic root of 526163040 is about 807.3095922470.

The spelling of 526163040 in words is "five hundred twenty-six million, one hundred sixty-three thousand, forty".