1220845176 has 128 divisors (see below), whose sum is σ = 3463430400. Its totient is φ = 398390400.

The previous prime is 1220845147. The next prime is 1220845177. The reversal of 1220845176 is 6715480221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1220845176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220845177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334051 + ... + 2334573.

It is an arithmetic number, because the mean of its divisors is an integer number (27058050).

Almost surely, 2^1220845176 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 1220845176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731715200).

1220845176 is an abundant number, since it is smaller than the sum of its proper divisors (2242585224).

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

1220845176 is a wasteful number, since it uses less digits than its factorization.

1220845176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1220845176 is about 34940.5949577279. The cubic root of 1220845176 is about 1068.7764206457.

It can be divided in two parts, 122084 and 5176, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 1220845176 in words is "one billion, two hundred twenty million, eight hundred forty-five thousand, one hundred seventy-six".