1123649280 has 576 divisors, whose sum is σ = 4470963840. Its totient is φ = 265420800.

The previous prime is 1123649279. The next prime is 1123649299. The reversal of 1123649280 is 829463211.

1123649280 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 649 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18420450 + ... + 18420510.

It is an arithmetic number, because the mean of its divisors is an integer number (7762090).

Almost surely, 2^1123649280 is an apocalyptic number.

1123649280 is a gapful number since it is divisible by the number (10) 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 1123649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235481920).

1123649280 is an abundant number, since it is smaller than the sum of its proper divisors (3347314560).

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

1123649280 is a wasteful number, since it uses less digits than its factorization.

1123649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1123649280 is about 33520.8782701170. The cubic root of 1123649280 is about 1039.6255061903.

It can be divided in two parts, 11236 and 49280, that added together give a square (60516 = 246²).

The spelling of 1123649280 in words is "one billion, one hundred twenty-three million, six hundred forty-nine thousand, two hundred eighty".