1226727600 has 240 divisors, whose sum is σ = 4613538048. Its totient is φ = 272747520.

The previous prime is 1226727583. The next prime is 1226727653. The reversal of 1226727600 is 67276221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308827 + ... + 312773.

Almost surely, 2^1226727600 is an apocalyptic number.

1226727600 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 1226727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306769024).

1226727600 is an abundant number, since it is smaller than the sum of its proper divisors (3386810448).

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

1226727600 is a wasteful number, since it uses less digits than its factorization.

1226727600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1226727600 is about 35024.6713046675. The cubic root of 1226727600 is about 1070.4902403136.

The spelling of 1226727600 in words is "one billion, two hundred twenty-six million, seven hundred twenty-seven thousand, six hundred".