124996896 has 144 divisors (see below), whose sum is σ = 382112640. Its totient is φ = 38638080.

The previous prime is 124996891. The next prime is 124996901. The reversal of 124996896 is 698699421.

124996896 is a `hidden beast` number, since 1 + 2 + 499 + 68 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (124996891) and next prime (124996901).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124996891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289801 + ... + 290231.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^124996896 is an apocalyptic number.

124996896 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 124996896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

124996896 is an abundant number, since it is smaller than the sum of its proper divisors (257115744).

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

124996896 is a wasteful number, since it uses less digits than its factorization.

124996896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 124996896 is about 11180.2010715371. The cubic root of 124996896 is about 499.9958612991.

The spelling of 124996896 in words is "one hundred twenty-four million, nine hundred ninety-six thousand, eight hundred ninety-six".