1020641000 has 64 divisors (see below), whose sum is σ = 2428920000. Its totient is φ = 401313600.

The previous prime is 1020640987. The next prime is 1020641009. The reversal of 1020641000 is 1460201.

It is not an unprimeable number, because it can be changed into a prime (1020641009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50351 + ... + 67649.

It is an arithmetic number, because the mean of its divisors is an integer number (37951875).

Almost surely, 2^1020641000 is an apocalyptic number.

1020641000 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 1020641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214460000).

1020641000 is an abundant number, since it is smaller than the sum of its proper divisors (1408279000).

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

1020641000 is a wasteful number, since it uses less digits than its factorization.

1020641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17379 (or 17365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1020641000 is about 31947.4725134869. The cubic root of 1020641000 is about 1006.8335298346.

The spelling of 1020641000 in words is "one billion, twenty million, six hundred forty-one thousand".