124161408 has 192 divisors, whose sum is σ = 415303200. Its totient is φ = 34873344.

The previous prime is 124161391. The next prime is 124161419. The reversal of 124161408 is 804161421.

It is a happy number.

124161408 is a `hidden beast` number, since 1 + 2 + 41 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717610 + ... + 717782.

Almost surely, 2^124161408 is an apocalyptic number.

124161408 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 124161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207651600).

124161408 is an abundant number, since it is smaller than the sum of its proper divisors (291141792).

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

124161408 is a wasteful number, since it uses less digits than its factorization.

124161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 124161408 is about 11142.7738018861. The cubic root of 124161408 is about 498.8793675757.

It can be divided in two parts, 12416 and 1408, that added together give a cube (13824 = 24³).

The spelling of 124161408 in words is "one hundred twenty-four million, one hundred sixty-one thousand, four hundred eight".