36695520 has 144 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 9203712.

The previous prime is 36695497. The next prime is 36695521. The reversal of 36695520 is 2559663.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36695520² = 2693122376140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36695521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23731 + ... + 25229.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 2^36695520 is an apocalyptic number.

36695520 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 36695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

36695520 is an abundant number, since it is smaller than the sum of its proper divisors (95982480).

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

36695520 is a wasteful number, since it uses less digits than its factorization.

36695520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 36695520 is about 6057.6827252671. The cubic root of 36695520 is about 332.3056168753.

It can be divided in two parts, 36 and 695520, that added together give a square (695556 = 834²).

The spelling of 36695520 in words is "thirty-six million, six hundred ninety-five thousand, five hundred twenty".