36455040 has 96 divisors (see below), whose sum is σ = 125903700. Its totient is φ = 9719808.

The previous prime is 36454993. The next prime is 36455063. The reversal of 36455040 is 4055463.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 166464 = 6024^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36454995 and 36455013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596 + ... + 8924.

Almost surely, 2^36455040 is an apocalyptic number.

36455040 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 36455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62951850).

36455040 is an abundant number, since it is smaller than the sum of its proper divisors (89448660).

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

36455040 is a wasteful number, since it uses less digits than its factorization.

36455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 36455040 is about 6037.8009241776. The cubic root of 36455040 is about 331.5781160818.

The spelling of 36455040 in words is "thirty-six million, four hundred fifty-five thousand, forty".