536764000 has 48 divisors (see below), whose sum is σ = 1318838976. Its totient is φ = 214704000.

The previous prime is 536763991. The next prime is 536764021. The reversal of 536764000 is 467635.

It is a super-3 number, since 3×536764000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 63096 + ... + 71095.

It is an arithmetic number, because the mean of its divisors is an integer number (27475812).

Almost surely, 2^536764000 is an apocalyptic number.

536764000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536764000 is an abundant number, since it is smaller than the sum of its proper divisors (782074976).

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

536764000 is a wasteful number, since it uses less digits than its factorization.

536764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134216 (or 134198 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 536764000 is about 23168.1678170718. The cubic root of 536764000 is about 812.6953849639.

The spelling of 536764000 in words is "five hundred thirty-six million, seven hundred sixty-four thousand".