123291648 has 72 divisors (see below), whose sum is σ = 356142150. Its totient is φ = 41091072.

The previous prime is 123291613. The next prime is 123291653. The reversal of 123291648 is 846192321.

123291648 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 9 + 1 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86713344 + 36578304 = 9312^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15088 + ... + 21776.

Almost surely, 2^123291648 is an apocalyptic number.

123291648 is a gapful number since it is divisible by the number (18) 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 123291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178071075).

123291648 is an abundant number, since it is smaller than the sum of its proper divisors (232850502).

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

123291648 is an equidigital number, since it uses as much as digits as its factorization.

123291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6694 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 123291648 is about 11103.6772287382. The cubic root of 123291648 is about 497.7117410508.

The spelling of 123291648 in words is "one hundred twenty-three million, two hundred ninety-one thousand, six hundred forty-eight".