10614564 has 45 divisors (see below), whose sum is σ = 27902721. Its totient is φ = 3518640.

The previous prime is 10614547. The next prime is 10614587. The reversal of 10614564 is 46541601.

The square root of 10614564 is 3258.

It is a perfect power (a square), and thus also a powerful number.

10614564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 10497600 = 342^2 + 3240^2 .

It is a super-2 number, since 2×10614564² = 225337937820192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 58554 + ... + 58734.

Almost surely, 2^10614564 is an apocalyptic number.

10614564 is the 3258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10614564

10614564 is an abundant number, since it is smaller than the sum of its proper divisors (17288157).

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

10614564 is an equidigital number, since it uses as much as digits as its factorization.

10614564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 10614564 is about 219.7694830656.

It can be divided in two parts, 1061 and 4564, that added together give a square (5625 = 75²).

The spelling of 10614564 in words is "ten million, six hundred fourteen thousand, five hundred sixty-four".