120561408 has 216 divisors, whose sum is σ = 390289536. Its totient is φ = 35481600.

The previous prime is 120561407. The next prime is 120561457. The reversal of 120561408 is 804165021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120561407) 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, 1698013 + ... + 1698083.

It is an arithmetic number, because the mean of its divisors is an integer number (1806896).

Almost surely, 2^120561408 is an apocalyptic number.

120561408 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 120561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195144768).

120561408 is an abundant number, since it is smaller than the sum of its proper divisors (269728128).

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

120561408 is a wasteful number, since it uses less digits than its factorization.

120561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120561408 is about 10980.0459015434. The cubic root of 120561408 is about 494.0104135446.

The spelling of 120561408 in words is "one hundred twenty million, five hundred sixty-one thousand, four hundred eight".