1020950640 has 240 divisors, whose sum is σ = 3656016000. Its totient is φ = 254435328.

The previous prime is 1020950639. The next prime is 1020950653. The reversal of 1020950640 is 460590201.

1020950640 is a `hidden beast` number, since 10 + 2 + 0 + 9 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2925186 + ... + 2925534.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^1020950640 is an apocalyptic number.

1020950640 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 1020950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

1020950640 is an abundant number, since it is smaller than the sum of its proper divisors (2635065360).

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

1020950640 is a wasteful number, since it uses less digits than its factorization.

1020950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1020950640 is about 31952.3182257563. The cubic root of 1020950640 is about 1006.9353365792.

The spelling of 1020950640 in words is "one billion, twenty million, nine hundred fifty thousand, six hundred forty".