10052640 has 192 divisors, whose sum is σ = 38102400. Its totient is φ = 2460672.

The previous prime is 10052599. The next prime is 10052657. The reversal of 10052640 is 4625001.

It is a happy number.

10052640 is a `hidden beast` number, since 100 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56071 + ... + 56249.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^10052640 is an apocalyptic number.

10052640 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 10052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

10052640 is an abundant number, since it is smaller than the sum of its proper divisors (28049760).

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

10052640 is a wasteful number, since it uses less digits than its factorization.

10052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10052640 is about 3170.5898504852. The cubic root of 10052640 is about 215.8208390906.

Adding to 10052640 its reverse (4625001), we get a palindrome (14677641).

The spelling of 10052640 in words is "ten million, fifty-two thousand, six hundred forty".