536437080 has 192 divisors, whose sum is σ = 1823421600. Its totient is φ = 141834240.

The previous prime is 536437043. The next prime is 536437123. The reversal of 536437080 is 80734635.

It is a happy number.

536437080 is a `hidden beast` number, since 5 + 3 + 643 + 7 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2225760 + ... + 2226000.

Almost surely, 2^536437080 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 536437080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911710800).

536437080 is an abundant number, since it is smaller than the sum of its proper divisors (1286984520).

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

536437080 is a wasteful number, since it uses less digits than its factorization.

536437080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 536437080 is about 23161.1113722982. Note that the first 3 decimals coincide. The cubic root of 536437080 is about 812.5303587867.

It can be divided in two parts, 5364370 and 80, that added together give a triangular number (5364450 = T₃₂₇₅).

The spelling of 536437080 in words is "five hundred thirty-six million, four hundred thirty-seven thousand, eighty".