1226624000 has 264 divisors, whose sum is σ = 3594400992. Its totient is φ = 409190400.

The previous prime is 1226623973. The next prime is 1226624011. The reversal of 1226624000 is 4266221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33151982 + ... + 33152018.

Almost surely, 2^1226624000 is an apocalyptic number.

1226624000 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 1226624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797200496).

1226624000 is an abundant number, since it is smaller than the sum of its proper divisors (2367776992).

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

1226624000 is an frugal number, since it uses more digits than its factorization.

1226624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1226624000 is about 35023.1923159497. The cubic root of 1226624000 is about 1070.4601043347.

The spelling of 1226624000 in words is "one billion, two hundred twenty-six million, six hundred twenty-four thousand".