10652160 has 160 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 2654208.

The previous prime is 10652119. The next prime is 10652177. The reversal of 10652160 is 6125601.

10652160 = T₂₆₄ + T₂₆₅ + ... + T₄₃₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10652160² = 226937025331200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145884 + ... + 145956.

It is an arithmetic number, because the mean of its divisors is an integer number (227106).

Almost surely, 2^10652160 is an apocalyptic number.

10652160 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 10652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

10652160 is an abundant number, since it is smaller than the sum of its proper divisors (25684800).

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

10652160 is an equidigital number, since it uses as much as digits as its factorization.

10652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10652160 is about 3263.7646974008. The cubic root of 10652160 is about 220.0286464075.

Adding to 10652160 its reverse (6125601), we get a palindrome (16777761).

The spelling of 10652160 in words is "ten million, six hundred fifty-two thousand, one hundred sixty".