36680832 has 96 divisors (see below), whose sum is σ = 111821580. Its totient is φ = 11501568.

The previous prime is 36680807. The next prime is 36680857. The reversal of 36680832 is 23808663.

It is an interprime number because it is at equal distance from previous prime (36680807) and next prime (36680857).

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 968256 = 5976^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18648 + ... + 20520.

Almost surely, 2^36680832 is an apocalyptic number.

36680832 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 36680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55910790).

36680832 is an abundant number, since it is smaller than the sum of its proper divisors (75140748).

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

36680832 is a wasteful number, since it uses less digits than its factorization.

36680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36680832 is about 6056.4702591526. The cubic root of 36680832 is about 332.2612739849.

The spelling of 36680832 in words is "thirty-six million, six hundred eighty thousand, eight hundred thirty-two".