123621366 has 128 divisors (see below), whose sum is σ = 302579712. Its totient is φ = 33264000.

The previous prime is 123621349. The next prime is 123621383. The reversal of 123621366 is 663126321.

123621366 = 424² + 425² + ... + 764².

It is an interprime number because it is at equal distance from previous prime (123621349) and next prime (123621383).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1741111 + ... + 1741181.

It is an arithmetic number, because the mean of its divisors is an integer number (2363904).

Almost surely, 2^123621366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123621366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151289856).

123621366 is an abundant number, since it is smaller than the sum of its proper divisors (178958346).

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

123621366 is a wasteful number, since it uses less digits than its factorization.

123621366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its digits is 7776, while the sum is 30.

The square root of 123621366 is about 11118.5145590587. The cubic root of 123621366 is about 498.1550218180.

Adding to 123621366 its reverse (663126321), we get a palindrome (786747687).

The spelling of 123621366 in words is "one hundred twenty-three million, six hundred twenty-one thousand, three hundred sixty-six".