1020584664 has 192 divisors, whose sum is σ = 3300847200. Its totient is φ = 290949120.

The previous prime is 1020584659. The next prime is 1020584671. The reversal of 1020584664 is 4664850201.

1020584664 is a `hidden beast` number, since 10 + 2 + 0 + 584 + 6 + 64 = 666.

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

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, 443164 + ... + 445460.

Almost surely, 2^1020584664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020584664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650423600).

1020584664 is an abundant number, since it is smaller than the sum of its proper divisors (2280262536).

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

1020584664 is a wasteful number, since it uses less digits than its factorization.

1020584664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1020584664 is about 31946.5908040279. The cubic root of 1020584664 is about 1006.8150048693.

The spelling of 1020584664 in words is "one billion, twenty million, five hundred eighty-four thousand, six hundred sixty-four".