120846816 has 72 divisors (see below), whose sum is σ = 356409144. Its totient is φ = 40279680.

The previous prime is 120846811. The next prime is 120846827. The reversal of 120846816 is 618648021.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120846811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (4950127).

Almost surely, 2^120846816 is an apocalyptic number.

120846816 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 120846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178204572).

120846816 is an abundant number, since it is smaller than the sum of its proper divisors (235562328).

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

120846816 is an equidigital number, since it uses as much as digits as its factorization.

120846816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566 (or 15546 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120846816 is about 10993.0348857811. The cubic root of 120846816 is about 494.3999340183.

The spelling of 120846816 in words is "one hundred twenty million, eight hundred forty-six thousand, eight hundred sixteen".