10642752 has 70 divisors (see below), whose sum is σ = 31563818. Its totient is φ = 3545856.

The previous prime is 10642747. The next prime is 10642757. The reversal of 10642752 is 25724601.

10642752 is a `hidden beast` number, since 10 + 642 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10642747) and next prime (10642757).

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 1498176 = 3024^2 + 1224^2 .

It is a super-2 number, since 2×10642752² = 226536340267008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642757) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4158 + ... + 6210.

Almost surely, 2^10642752 is an apocalyptic number.

10642752 is a gapful number since it is divisible by the number (12) 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 10642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781909).

10642752 is an abundant number, since it is smaller than the sum of its proper divisors (20921066).

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

10642752 is an equidigital number, since it uses as much as digits as its factorization.

10642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10642752 is about 3262.3230986522. The cubic root of 10642752 is about 219.9638508098.

The spelling of 10642752 in words is "ten million, six hundred forty-two thousand, seven hundred fifty-two".