124561040 has 80 divisors (see below), whose sum is σ = 311444352. Its totient is φ = 46159872.

The previous prime is 124561037. The next prime is 124561079. The reversal of 124561040 is 40165421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 124560997 and 124561015.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90437 + ... + 91803.

Almost surely, 2^124561040 is an apocalyptic number.

124561040 is a gapful number since it is divisible by the number (10) 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 124561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155722176).

124561040 is an abundant number, since it is smaller than the sum of its proper divisors (186883312).

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

124561040 is a wasteful number, since it uses less digits than its factorization.

124561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 124561040 is about 11160.6917348344. The cubic root of 124561040 is about 499.4140335549.

The spelling of 124561040 in words is "one hundred twenty-four million, five hundred sixty-one thousand, forty".