68950080 has 168 divisors, whose sum is σ = 240715800. Its totient is φ = 18112512.

The previous prime is 68950019. The next prime is 68950093. The reversal of 68950080 is 8005986.

68950080 = T₁₂₀₀ + T₁₂₀₁ + ... + T₁₂₈₈.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 68161536 = 888^2 + 8256^2 .

It is a super-2 number, since 2×68950080² = 9508227064012800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256186 + ... + 256454.

Almost surely, 2^68950080 is an apocalyptic number.

68950080 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 68950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120357900).

68950080 is an abundant number, since it is smaller than the sum of its proper divisors (171765720).

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

68950080 is a wasteful number, since it uses less digits than its factorization.

68950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 68950080 is about 8303.6184883459. The cubic root of 68950080 is about 410.0576559806.

The spelling of 68950080 in words is "sixty-eight million, nine hundred fifty thousand, eighty".