535161600 has 432 divisors, whose sum is σ = 2078339200. Its totient is φ = 134369280.

The previous prime is 535161569. The next prime is 535161689. The reversal of 535161600 is 6161535.

It is a happy number.

535161600 is a `hidden beast` number, since 5 + 3 + 51 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×535161600² = 572795876229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3283119 + ... + 3283281.

Almost surely, 2^535161600 is an apocalyptic number.

535161600 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 535161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039169600).

535161600 is an abundant number, since it is smaller than the sum of its proper divisors (1543177600).

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

535161600 is a wasteful number, since it uses less digits than its factorization.

535161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 535161600 is about 23133.5600373138. The cubic root of 535161600 is about 811.8858664921.

The spelling of 535161600 in words is "five hundred thirty-five million, one hundred sixty-one thousand, six hundred".