120703968 has 144 divisors (see below), whose sum is σ = 428029056. Its totient is φ = 31345920.

The previous prime is 120703951. The next prime is 120703969. The reversal of 120703968 is 869307021.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120703969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19455 + ... + 24897.

It is an arithmetic number, because the mean of its divisors is an integer number (2972424).

Almost surely, 2^120703968 is an apocalyptic number.

120703968 is a gapful number since it is divisible by the number (18) 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 120703968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214014528).

120703968 is an abundant number, since it is smaller than the sum of its proper divisors (307325088).

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

120703968 is a wasteful number, since it uses less digits than its factorization.

120703968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 120703968 is about 10986.5357597379. The cubic root of 120703968 is about 494.2050540050.

The spelling of 120703968 in words is "one hundred twenty million, seven hundred three thousand, nine hundred sixty-eight".