68385152 has 64 divisors (see below), whose sum is σ = 157418640. Its totient is φ = 29245440.

The previous prime is 68385151. The next prime is 68385157. The reversal of 68385152 is 25158386.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68385151) 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, 22508 + ... + 25364.

Almost surely, 2^68385152 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 68385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78709320).

68385152 is an abundant number, since it is smaller than the sum of its proper divisors (89033488).

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

68385152 is a wasteful number, since it uses less digits than its factorization.

68385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2887 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 68385152 is about 8269.5315465871. The cubic root of 68385152 is about 408.9346763120.

It can be divided in two parts, 68385 and 152, that multiplied together give a triangular number (10394520 = T₄₅₅₉).

The spelling of 68385152 in words is "sixty-eight million, three hundred eighty-five thousand, one hundred fifty-two".