68654880 has 288 divisors, whose sum is σ = 275184000. Its totient is φ = 15579648.

The previous prime is 68654843. The next prime is 68654897. The reversal of 68654880 is 8845686.

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 (45).

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, 493851 + ... + 493989.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^68654880 is an apocalyptic number.

68654880 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 68654880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

68654880 is an abundant number, since it is smaller than the sum of its proper divisors (206529120).

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

68654880 is a wasteful number, since it uses less digits than its factorization.

68654880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 68654880 is about 8285.8240386820. The cubic root of 68654880 is about 409.4716175814.

The spelling of 68654880 in words is "sixty-eight million, six hundred fifty-four thousand, eight hundred eighty".