536076000 has 144 divisors (see below), whose sum is σ = 1902661488. Its totient is φ = 142944000.

The previous prime is 536075999. The next prime is 536076007. The reversal of 536076000 is 670635.

536076000 is a `hidden beast` number, since 53 + 6 + 0 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536076007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28555 + ... + 43445.

It is an arithmetic number, because the mean of its divisors is an integer number (13212927).

Almost surely, 2^536076000 is an apocalyptic number.

536076000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951330744).

536076000 is an abundant number, since it is smaller than the sum of its proper divisors (1366585488).

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

536076000 is a wasteful number, since it uses less digits than its factorization.

536076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14922 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 536076000 is about 23153.3150974110. The cubic root of 536076000 is about 812.3480110179.

The spelling of 536076000 in words is "five hundred thirty-six million, seventy-six thousand".