68961792 has 160 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 20348928.

The previous prime is 68961787. The next prime is 68961799. The reversal of 68961792 is 29716986.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68961799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496059 + ... + 496197.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^68961792 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 68961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

68961792 is an abundant number, since it is smaller than the sum of its proper divisors (137275008).

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

68961792 is a wasteful number, since it uses less digits than its factorization.

68961792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 68961792 is about 8304.3236931131. The cubic root of 68961792 is about 410.0808724070.

It can be divided in two parts, 689 and 61792, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 68961792 in words is "sixty-eight million, nine hundred sixty-one thousand, seven hundred ninety-two".