1020659328 has 384 divisors, whose sum is σ = 3542011200. Its totient is φ = 278691840.

The previous prime is 1020659327. The next prime is 1020659329. The reversal of 1020659328 is 8239560201.

It is an interprime number because it is at equal distance from previous prime (1020659327) and next prime (1020659329).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1020659292 and 1020659301.

It is not an unprimeable number, because it can be changed into a prime (1020659327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837143 + ... + 4837353.

Almost surely, 2^1020659328 is an apocalyptic number.

1020659328 is a gapful number since it is divisible by the number (18) 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 1020659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771005600).

1020659328 is an abundant number, since it is smaller than the sum of its proper divisors (2521351872).

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

1020659328 is a wasteful number, since it uses less digits than its factorization.

1020659328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1020659328 is about 31947.7593580520. The cubic root of 1020659328 is about 1006.8395564834.

The spelling of 1020659328 in words is "one billion, twenty million, six hundred fifty-nine thousand, three hundred twenty-eight".