68481504 has 288 divisors, whose sum is σ = 250871040. Its totient is φ = 17791488.

The previous prime is 68481493. The next prime is 68481541. The reversal of 68481504 is 40518486.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1022079 + ... + 1022145.

It is an arithmetic number, because the mean of its divisors is an integer number (871080).

Almost surely, 2^68481504 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 68481504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125435520).

68481504 is an abundant number, since it is smaller than the sum of its proper divisors (182389536).

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

68481504 is a wasteful number, since it uses less digits than its factorization.

68481504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68481504 is about 8275.3552189619. The cubic root of 68481504 is about 409.1266438279.

The spelling of 68481504 in words is "sixty-eight million, four hundred eighty-one thousand, five hundred four".