123057630 has 96 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 32389632.

The previous prime is 123057629. The next prime is 123057653. The reversal of 123057630 is 36750321.

It is a happy number.

123057630 is a `hidden beast` number, since 1 + 23 + 0 + 5 + 7 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123057594 and 123057603.

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, 215986 + ... + 216554.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^123057630 is an apocalyptic number.

123057630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123057630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

123057630 is an abundant number, since it is smaller than the sum of its proper divisors (213059970).

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

123057630 is an equidigital number, since it uses as much as digits as its factorization.

123057630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 123057630 is about 11093.1343631996. The cubic root of 123057630 is about 497.3966419123.

The spelling of 123057630 in words is "one hundred twenty-three million, fifty-seven thousand, six hundred thirty".