880146048 has 128 divisors (see below), whose sum is σ = 2439383040. Its totient is φ = 280857600.

The previous prime is 880146019. The next prime is 880146061. The reversal of 880146048 is 840641088.

880146048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 880145997 and 880146015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273383 + ... + 1274073.

It is an arithmetic number, because the mean of its divisors is an integer number (19057680).

Almost surely, 2^880146048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219691520).

880146048 is an abundant number, since it is smaller than the sum of its proper divisors (1559236992).

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

880146048 is a wasteful number, since it uses less digits than its factorization.

880146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 880146048 is about 29667.2554847933. The cubic root of 880146048 is about 958.3369819109.

The spelling of 880146048 in words is "eight hundred eighty million, one hundred forty-six thousand, forty-eight".