123887610 has 256 divisors, whose sum is σ = 423014400. Its totient is φ = 25056000.

The previous prime is 123887573. The next prime is 123887627. The reversal of 123887610 is 16788321.

123887610 is a `hidden beast` number, since 1 + 2 + 38 + 8 + 7 + 610 = 666.

It is a super-3 number, since 3×123887610³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1226560 + ... + 1226660.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^123887610 is an apocalyptic number.

123887610 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 123887610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

123887610 is an abundant number, since it is smaller than the sum of its proper divisors (299126790).

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

123887610 is a wasteful number, since it uses less digits than its factorization.

123887610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 123887610 is about 11130.4811216766. The cubic root of 123887610 is about 498.5123917662.

The spelling of 123887610 in words is "one hundred twenty-three million, eight hundred eighty-seven thousand, six hundred ten".