67131936 has 48 divisors (see below), whose sum is σ = 195804000. Its totient is φ = 22377024.

The previous prime is 67131919. The next prime is 67131941. The reversal of 67131936 is 63913176.

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

It is a super-2 number, since 2×67131936² = 9013393662216192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67131936.

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, 37986 + ... + 39713.

It is an arithmetic number, because the mean of its divisors is an integer number (4079250).

Almost surely, 2^67131936 is an apocalyptic number.

It is an amenable number.

67131936 is an abundant number, since it is smaller than the sum of its proper divisors (128672064).

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

67131936 is a wasteful number, since it uses less digits than its factorization.

67131936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77718 (or 77704 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 67131936 is about 8193.4080821109. The cubic root of 67131936 is about 406.4212344496.

It can be divided in two parts, 6713 and 1936, that added together give a square (8649 = 93²).

The spelling of 67131936 in words is "sixty-seven million, one hundred thirty-one thousand, nine hundred thirty-six".