1006464528 has 200 divisors, whose sum is σ = 3033208640. Its totient is φ = 321926400.

The previous prime is 1006464509. The next prime is 1006464551. The reversal of 1006464528 is 8254646001.

1006464528 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 645 + 2 + 8 = 666.

It is a super-2 number, since 2×1006464528² = 2025941692244525568, which contains 22 as substring.

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 = 1006464492 and 1006464501.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6665253 + ... + 6665403.

Almost surely, 2^1006464528 is an apocalyptic number.

1006464528 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 1006464528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516604320).

1006464528 is an abundant number, since it is smaller than the sum of its proper divisors (2026744112).

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

1006464528 is a wasteful number, since it uses less digits than its factorization.

1006464528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

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

The square root of 1006464528 is about 31724.8251059009. The cubic root of 1006464528 is about 1002.1502159244.

The spelling of 1006464528 in words is "one billion, six million, four hundred sixty-four thousand, five hundred twenty-eight".