36292068 has 72 divisors (see below), whose sum is σ = 97651008. Its totient is φ = 11339328.

The previous prime is 36292063. The next prime is 36292099. The reversal of 36292068 is 86029263.

36292068 is a `hidden beast` number, since 3 + 629 + 20 + 6 + 8 = 666.

It is a super-2 number, since 2×36292068² = 2634228399433248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36292063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43471 + ... + 44297.

It is an arithmetic number, because the mean of its divisors is an integer number (1356264).

Almost surely, 2^36292068 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 36292068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48825504).

36292068 is an abundant number, since it is smaller than the sum of its proper divisors (61358940).

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

36292068 is a wasteful number, since it uses less digits than its factorization.

36292068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36292068 is about 6024.2898336650. The cubic root of 36292068 is about 331.0832720698.

The spelling of 36292068 in words is "thirty-six million, two hundred ninety-two thousand, sixty-eight".