120479616 has 128 divisors (see below), whose sum is σ = 361324800. Its totient is φ = 39513600.

The previous prime is 120479603. The next prime is 120479617. The reversal of 120479616 is 616974021.

120479616 is a `hidden beast` number, since 120 + 479 + 61 + 6 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120479617) 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, 245131 + ... + 245621.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850).

Almost surely, 2^120479616 is an apocalyptic number.

120479616 is a gapful number since it is divisible by the number (16) 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 120479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

120479616 is an abundant number, since it is smaller than the sum of its proper divisors (240845184).

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

120479616 is an equidigital number, since it uses as much as digits as its factorization.

120479616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 567 counting only the distinct ones).

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

The square root of 120479616 is about 10976.3206950234. The cubic root of 120479616 is about 493.8986717598.

The spelling of 120479616 in words is "one hundred twenty million, four hundred seventy-nine thousand, six hundred sixteen".