68574960 has 240 divisors, whose sum is σ = 248609088. Its totient is φ = 16896000.

The previous prime is 68574943. The next prime is 68574967. The reversal of 68574960 is 6947586.

It is a Cunningham number, because it is equal to 91⁴-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68574967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678910 + ... + 679010.

Almost surely, 2^68574960 is an apocalyptic number.

68574960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68574960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

68574960 is an abundant number, since it is smaller than the sum of its proper divisors (180034128).

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

68574960 is a wasteful number, since it uses less digits than its factorization.

68574960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 68574960 is about 8280.9999396208. Note that the first 4 decimals coincide. The cubic root of 68574960 is about 409.3126695305.

The spelling of 68574960 in words is "sixty-eight million, five hundred seventy-four thousand, nine hundred sixty".