1010528640 has 384 divisors, whose sum is σ = 3909578400. Its totient is φ = 238387200.

The previous prime is 1010528633. The next prime is 1010528641. The reversal of 1010528640 is 468250101.

1010528640 is a `hidden beast` number, since 1 + 0 + 10 + 5 + 2 + 8 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010528641) 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, 2597566 + ... + 2597954.

Almost surely, 2^1010528640 is an apocalyptic number.

1010528640 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 1010528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954789200).

1010528640 is an abundant number, since it is smaller than the sum of its proper divisors (2899049760).

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

1010528640 is a wasteful number, since it uses less digits than its factorization.

1010528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1010528640 is about 31788.8131266331. The cubic root of 1010528640 is about 1003.4973012917.

Adding to 1010528640 its reverse (468250101), we get a palindrome (1478778741).

The spelling of 1010528640 in words is "one billion, ten million, five hundred twenty-eight thousand, six hundred forty".