36442560 has 448 divisors, whose sum is σ = 158008320. Its totient is φ = 6881280.

The previous prime is 36442541. The next prime is 36442583. The reversal of 36442560 is 6524463.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256626 + ... + 1256654.

Almost surely, 2^36442560 is an apocalyptic number.

36442560 is a gapful number since it is divisible by the number (30) 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 36442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

36442560 is an abundant number, since it is smaller than the sum of its proper divisors (121565760).

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

36442560 is a wasteful number, since it uses less digits than its factorization.

36442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 36442560 is about 6036.7673468505. The cubic root of 36442560 is about 331.5402743349.

It can be divided in two parts, 364 and 42560, that added together give a palindrome (42924).

The spelling of 36442560 in words is "thirty-six million, four hundred forty-two thousand, five hundred sixty".