36121632 has 48 divisors (see below), whose sum is σ = 95128992. Its totient is φ = 12001280.

The previous prime is 36121621. The next prime is 36121633. The reversal of 36121632 is 23612163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36121633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56032 + ... + 56672.

It is an arithmetic number, because the mean of its divisors is an integer number (1981854).

Almost surely, 2^36121632 is an apocalyptic number.

36121632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36121632 is an abundant number, since it is smaller than the sum of its proper divisors (59007360).

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

36121632 is a wasteful number, since it uses less digits than its factorization.

36121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 36121632 is about 6010.1274528915. The cubic root of 36121632 is about 330.5641772495.

Adding to 36121632 its reverse (23612163), we get a palindrome (59733795).

The spelling of 36121632 in words is "thirty-six million, one hundred twenty-one thousand, six hundred thirty-two".