1226167600 has 120 divisors (see below), whose sum is σ = 3385641440. Its totient is φ = 418037760.

The previous prime is 1226167567. The next prime is 1226167609. The reversal of 1226167600 is 67616221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1226167609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539266 + ... + 541534.

Almost surely, 2^1226167600 is an apocalyptic number.

1226167600 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 1226167600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692820720).

1226167600 is an abundant number, since it is smaller than the sum of its proper divisors (2159473840).

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

1226167600 is a wasteful number, since it uses less digits than its factorization.

1226167600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1226167600 is about 35016.6760272873. The cubic root of 1226167600 is about 1070.3273229233.

The spelling of 1226167600 in words is "one billion, two hundred twenty-six million, one hundred sixty-seven thousand, six hundred".