36102560 has 96 divisors (see below), whose sum is σ = 97351632. Its totient is φ = 12533760.

The previous prime is 36102559. The next prime is 36102587. The reversal of 36102560 is 6520163.

It can be written as a sum of positive squares in 8 ways, for example, as 15272464 + 20830096 = 3908^2 + 4564^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 34850 + ... + 35870.

Almost surely, 2^36102560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48675816).

36102560 is an abundant number, since it is smaller than the sum of its proper divisors (61249072).

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

36102560 is a wasteful number, since it uses less digits than its factorization.

36102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 36102560 is about 6008.5405881961. The cubic root of 36102560 is about 330.5059883883.

It can be divided in two parts, 3610 and 2560, that multiplied together give a square (9241600 = 3040²).

The spelling of 36102560 in words is "thirty-six million, one hundred two thousand, five hundred sixty".