536129040 has 80 divisors (see below), whose sum is σ = 1664232768. Its totient is φ = 142775808.

The previous prime is 536129029. The next prime is 536129063. The reversal of 536129040 is 40921635.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 536128989 and 536129007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328707 + ... + 330333.

Almost surely, 2^536129040 is an apocalyptic number.

It is an amenable number.

536129040 is an abundant number, since it is smaller than the sum of its proper divisors (1128103728).

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

536129040 is a wasteful number, since it uses less digits than its factorization.

536129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 536129040 is about 23154.4604774113. The cubic root of 536129040 is about 812.3748016953.

The spelling of 536129040 in words is "five hundred thirty-six million, one hundred twenty-nine thousand, forty".