1228633560 has 384 divisors, whose sum is σ = 5031936000. Its totient is φ = 252564480.

The previous prime is 1228633547. The next prime is 1228633577. The reversal of 1228633560 is 653368221.

It is a happy number.

1228633560 is a `hidden beast` number, since 12 + 2 + 8 + 633 + 5 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3520266 + ... + 3520614.

It is an arithmetic number, because the mean of its divisors is an integer number (13104000).

Almost surely, 2^1228633560 is an apocalyptic number.

1228633560 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 1228633560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515968000).

1228633560 is an abundant number, since it is smaller than the sum of its proper divisors (3803302440).

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

1228633560 is a wasteful number, since it uses less digits than its factorization.

1228633560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1228633560 is about 35051.8695649747. The cubic root of 1228633560 is about 1071.0443583905.

The spelling of 1228633560 in words is "one billion, two hundred twenty-eight million, six hundred thirty-three thousand, five hundred sixty".