123561936 has 100 divisors (see below), whose sum is σ = 363216832. Its totient is φ = 40544064.

The previous prime is 123561931. The next prime is 123561937. The reversal of 123561936 is 639165321.

123561936 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 619 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123561936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123561931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86121 + ... + 87543.

Almost surely, 2^123561936 is an apocalyptic number.

123561936 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 123561936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181608416).

123561936 is an abundant number, since it is smaller than the sum of its proper divisors (239654896).

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

123561936 is a wasteful number, since it uses less digits than its factorization.

123561936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1495 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 123561936 is about 11115.8416685377. The cubic root of 123561936 is about 498.0751809853.

The spelling of 123561936 in words is "one hundred twenty-three million, five hundred sixty-one thousand, nine hundred thirty-six".