36668192 has 48 divisors (see below), whose sum is σ = 79888032. Its totient is φ = 16427520.

The previous prime is 36668189. The next prime is 36668237. The reversal of 36668192 is 29186663.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24983 + ... + 26409.

It is an arithmetic number, because the mean of its divisors is an integer number (1664334).

Almost surely, 2^36668192 is an apocalyptic number.

36668192 is a gapful number since it is divisible by the number (32) 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 36668192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39944016).

36668192 is an abundant number, since it is smaller than the sum of its proper divisors (43219840).

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

36668192 is a wasteful number, since it uses less digits than its factorization.

36668192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 36668192 is about 6055.4266571399. The cubic root of 36668192 is about 332.2231045035.

The spelling of 36668192 in words is "thirty-six million, six hundred sixty-eight thousand, one hundred ninety-two".