1020090960 has 240 divisors, whose sum is σ = 4042122240. Its totient is φ = 225607680.

The previous prime is 1020090949. The next prime is 1020090971. The reversal of 1020090960 is 690900201.

It is a happy number.

1020090960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020090949) and next prime (1020090971).

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, 152976 + ... + 159504.

It is an arithmetic number, because the mean of its divisors is an integer number (16842176).

Almost surely, 2^1020090960 is an apocalyptic number.

1020090960 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 1020090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021061120).

1020090960 is an abundant number, since it is smaller than the sum of its proper divisors (3022031280).

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

1020090960 is a wasteful number, since it uses less digits than its factorization.

1020090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1020090960 is about 31938.8628476344. The cubic root of 1020090960 is about 1006.6526310242.

The spelling of 1020090960 in words is "one billion, twenty million, ninety thousand, nine hundred sixty".