36625632 has 72 divisors (see below), whose sum is σ = 99593928. Its totient is φ = 11784960.

The previous prime is 36625627. The next prime is 36625639. The reversal of 36625632 is 23652663.

36625632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36625593 and 36625602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36625639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92058 + ... + 92454.

It is an arithmetic number, because the mean of its divisors is an integer number (1383249).

Almost surely, 2^36625632 is an apocalyptic number.

36625632 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 36625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49796964).

36625632 is an abundant number, since it is smaller than the sum of its proper divisors (62968296).

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

36625632 is a wasteful number, since it uses less digits than its factorization.

36625632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 433 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 36625632 is about 6051.9114335886. The cubic root of 36625632 is about 332.0945199499.

The spelling of 36625632 in words is "thirty-six million, six hundred twenty-five thousand, six hundred thirty-two".