68087136 has 96 divisors (see below), whose sum is σ = 194957280. Its totient is φ = 20680704.

The previous prime is 68087111. The next prime is 68087137. The reversal of 68087136 is 63178086.

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 (39).

It is a junction number, because it is equal to n+sod(n) for n = 68087094 and 68087103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68087137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110766 + ... + 111378.

It is an arithmetic number, because the mean of its divisors is an integer number (2030805).

Almost surely, 2^68087136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97478640).

68087136 is an abundant number, since it is smaller than the sum of its proper divisors (126870144).

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

68087136 is a wasteful number, since it uses less digits than its factorization.

68087136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 68087136 is about 8251.4929558232. The cubic root of 68087136 is about 408.3397784720.

The spelling of 68087136 in words is "sixty-eight million, eighty-seven thousand, one hundred thirty-six".