68638080 has 128 divisors (see below), whose sum is σ = 250087680. Its totient is φ = 15685632.

The previous prime is 68638069. The next prime is 68638091. The reversal of 68638080 is 8083686.

68638080 = 385² + 386² + ... + 640².

It is an interprime number because it is at equal distance from previous prime (68638069) and next prime (68638091).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×68638080² = 9422372052172800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10887 + ... + 15993.

It is an arithmetic number, because the mean of its divisors is an integer number (1953810).

Almost surely, 2^68638080 is an apocalyptic number.

68638080 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 68638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125043840).

68638080 is an abundant number, since it is smaller than the sum of its proper divisors (181449600).

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

68638080 is a wasteful number, since it uses less digits than its factorization.

68638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68638080 is about 8284.8101969810. The cubic root of 68638080 is about 409.4382153219.

The spelling of 68638080 in words is "sixty-eight million, six hundred thirty-eight thousand, eighty".