68951952 has 80 divisors (see below), whose sum is σ = 199183680. Its totient is φ = 22837248.

The previous prime is 68951951. The next prime is 68951957. The reversal of 68951952 is 25915986.

68951952 is a `hidden beast` number, since 6 + 89 + 519 + 52 = 666.

It is a super-2 number, since 2×68951952² = 9508743369220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68951898 and 68951907.

It is not an unprimeable number, because it can be changed into a prime (68951951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82963 + ... + 83789.

It is an arithmetic number, because the mean of its divisors is an integer number (2489796).

Almost surely, 2^68951952 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 68951952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99591840).

68951952 is an abundant number, since it is smaller than the sum of its proper divisors (130231728).

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

68951952 is a wasteful number, since it uses less digits than its factorization.

68951952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 68951952 is about 8303.7312095226. The cubic root of 68951952 is about 410.0613669794.

The spelling of 68951952 in words is "sixty-eight million, nine hundred fifty-one thousand, nine hundred fifty-two".