803529540 has 216 divisors, whose sum is σ = 2718817920. Its totient is φ = 191917440.

The previous prime is 803529499. The next prime is 803529581. The reversal of 803529540 is 45925308.

803529540 is a `hidden beast` number, since 80 + 3 + 529 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (803529499) and next prime (803529581).

It is a super-2 number, since 2×803529540² = 1291319443305223200, which contains 22 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 = 803529495 and 803529504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1720387 + ... + 1720853.

It is an arithmetic number, because the mean of its divisors is an integer number (12587120).

Almost surely, 2^803529540 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 803529540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359408960).

803529540 is an abundant number, since it is smaller than the sum of its proper divisors (1915288380).

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

803529540 is a wasteful number, since it uses less digits than its factorization.

803529540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 803529540 is about 28346.5966211113. The cubic root of 803529540 is about 929.6809866634.

The spelling of 803529540 in words is "eight hundred three million, five hundred twenty-nine thousand, five hundred forty".