10007652 has 24 divisors (see below), whose sum is σ = 23405536. Its totient is φ = 3328128.

The previous prime is 10007593. The next prime is 10007653. The reversal of 10007652 is 25670001.

It is not an unprimeable number, because it can be changed into a prime (10007653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7068 + ... + 8364.

Almost surely, 2^10007652 is an apocalyptic number.

10007652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10007652 is an abundant number, since it is smaller than the sum of its proper divisors (13397884).

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

10007652 is a wasteful number, since it uses less digits than its factorization.

10007652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10007652 is about 3163.4873162382. The cubic root of 10007652 is about 215.4984074401.

Adding to 10007652 its reverse (25670001), we get a palindrome (35677653).

It can be divided in two parts, 100076 and 52, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 10007652 in words is "ten million, seven thousand, six hundred fifty-two".