536075904 has 384 divisors, whose sum is σ = 1895241600. Its totient is φ = 130572288.

The previous prime is 536075887. The next prime is 536075957. The reversal of 536075904 is 409570635.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18485362 + ... + 18485390.

It is an arithmetic number, because the mean of its divisors is an integer number (4935525).

Almost surely, 2^536075904 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 536075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947620800).

536075904 is an abundant number, since it is smaller than the sum of its proper divisors (1359165696).

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

536075904 is a wasteful number, since it uses less digits than its factorization.

536075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 536075904 is about 23153.3130242737. The cubic root of 536075904 is about 812.3479625264.

The spelling of 536075904 in words is "five hundred thirty-six million, seventy-five thousand, nine hundred four".