1024098020 has 192 divisors, whose sum is σ = 2620864512. Its totient is φ = 334540800.

The previous prime is 1024098013. The next prime is 1024098079. The reversal of 1024098020 is 208904201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14028704 + ... + 14028776.

It is an arithmetic number, because the mean of its divisors is an integer number (13650336).

Almost surely, 2^1024098020 is an apocalyptic number.

1024098020 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 1024098020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310432256).

1024098020 is an abundant number, since it is smaller than the sum of its proper divisors (1596766492).

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

1024098020 is a wasteful number, since it uses less digits than its factorization.

1024098020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1024098020 is about 32001.5315258504. The cubic root of 1024098020 is about 1007.9689996870.

The spelling of 1024098020 in words is "one billion, twenty-four million, ninety-eight thousand, twenty".