1020557124 has 96 divisors (see below), whose sum is σ = 2841350400. Its totient is φ = 315624960.

The previous prime is 1020557113. The next prime is 1020557137. The reversal of 1020557124 is 4217550201.

1020557124 is a `hidden beast` number, since 102 + 0 + 557 + 1 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126442 + ... + 134270.

It is an arithmetic number, because the mean of its divisors is an integer number (29597400).

Almost surely, 2^1020557124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020557124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420675200).

1020557124 is an abundant number, since it is smaller than the sum of its proper divisors (1820793276).

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

1020557124 is a wasteful number, since it uses less digits than its factorization.

1020557124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1020557124 is about 31946.1597692117. The cubic root of 1020557124 is about 1006.8059486438.

The spelling of 1020557124 in words is "one billion, twenty million, five hundred fifty-seven thousand, one hundred twenty-four".