1228865040 has 320 divisors, whose sum is σ = 4612204800. Its totient is φ = 298930176.

The previous prime is 1228864981. The next prime is 1228865041. The reversal of 1228865040 is 405688221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1228864986 and 1228865004.

It is not an unprimeable number, because it can be changed into a prime (1228865041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3004356 + ... + 3004764.

It is an arithmetic number, because the mean of its divisors is an integer number (14413140).

Almost surely, 2^1228865040 is an apocalyptic number.

1228865040 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 1228865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306102400).

1228865040 is an abundant number, since it is smaller than the sum of its proper divisors (3383339760).

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

1228865040 is a wasteful number, since it uses less digits than its factorization.

1228865040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1228865040 is about 35055.1713731369. The cubic root of 1228865040 is about 1071.1116173324. Note that the first 3 decimals are identical.

The spelling of 1228865040 in words is "one billion, two hundred twenty-eight million, eight hundred sixty-five thousand, forty".