1226088864 has 288 divisors, whose sum is σ = 4682530944. Its totient is φ = 293898240.

The previous prime is 1226088863. The next prime is 1226088889. The reversal of 1226088864 is 4688806221.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1226088863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286162 + ... + 290414.

It is an arithmetic number, because the mean of its divisors is an integer number (16258788).

Almost surely, 2^1226088864 is an apocalyptic number.

1226088864 is a gapful number since it is divisible by the number (14) 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 1226088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341265472).

1226088864 is an abundant number, since it is smaller than the sum of its proper divisors (3456442080).

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

1226088864 is a wasteful number, since it uses less digits than its factorization.

1226088864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1226088864 is about 35015.5517449033. The cubic root of 1226088864 is about 1070.3044127610.

It can be divided in two parts, 12260 and 88864, that added together give a square (101124 = 318²).

The spelling of 1226088864 in words is "one billion, two hundred twenty-six million, eighty-eight thousand, eight hundred sixty-four".