123785376 has 192 divisors, whose sum is σ = 390168576. Its totient is φ = 33868800.

The previous prime is 123785359. The next prime is 123785393. The reversal of 123785376 is 673587321.

It is an interprime number because it is at equal distance from previous prime (123785359) and next prime (123785393).

It is a super-2 number, since 2×123785376² = 30645638622922752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974625 + ... + 974751.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^123785376 is an apocalyptic number.

123785376 is a gapful number since it is divisible by the number (16) 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 123785376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

123785376 is an abundant number, since it is smaller than the sum of its proper divisors (266383200).

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

123785376 is a wasteful number, since it uses less digits than its factorization.

123785376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 123785376 is about 11125.8876499810. The cubic root of 123785376 is about 498.3752272795.

The spelling of 123785376 in words is "one hundred twenty-three million, seven hundred eighty-five thousand, three hundred seventy-six".