68661120 has 128 divisors (see below), whose sum is σ = 238826880. Its totient is φ = 16640000.

The previous prime is 68661119. The next prime is 68661121. The reversal of 68661120 is 2116686.

It is an interprime number because it is at equal distance from previous prime (68661119) and next prime (68661121).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68661121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19495 + ... + 22745.

It is an arithmetic number, because the mean of its divisors is an integer number (1865835).

Almost surely, 2^68661120 is an apocalyptic number.

68661120 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 68661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119413440).

68661120 is an abundant number, since it is smaller than the sum of its proper divisors (170165760).

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

68661120 is a wasteful number, since it uses less digits than its factorization.

68661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 68661120 is about 8286.2005768627. The cubic root of 68661120 is about 409.4840227471.

The spelling of 68661120 in words is "sixty-eight million, six hundred sixty-one thousand, one hundred twenty".