1226624004 has 18 divisors (see below), whose sum is σ = 3100632990. Its totient is φ = 408874656.

The previous prime is 1226623973. The next prime is 1226624011. The reversal of 1226624004 is 4004266221.

1226624004 is a `hidden beast` number, since 12 + 26 + 624 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1207701504 + 18922500 = 34752^2 + 4350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×1226624004⁴ (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17036409 + ... + 17036480.

Almost surely, 2^1226624004 is an apocalyptic number.

It is an amenable number.

1226624004 is an abundant number, since it is smaller than the sum of its proper divisors (1874008986).

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

1226624004 is a wasteful number, since it uses less digits than its factorization.

1226624004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34072899 (or 34072894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1226624004 is about 35023.1923730547. The cubic root of 1226624004 is about 1070.4601054983.

The spelling of 1226624004 in words is "one billion, two hundred twenty-six million, six hundred twenty-four thousand, four".