36887040 has 120 divisors (see below), whose sum is σ = 127829988. Its totient is φ = 9830400.

The previous prime is 36887027. The next prime is 36887041. The reversal of 36887040 is 4078863.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 3154176 = 5808^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 36886986 and 36887004.

It is not an unprimeable number, because it can be changed into a prime (36887041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22240 + ... + 23840.

It is a vampire number, since it can be written as 4803 ⋅ 7680 (with its own digits).

Almost surely, 2^36887040 is an apocalyptic number.

36887040 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 36887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63914994).

36887040 is an abundant number, since it is smaller than the sum of its proper divisors (90942948).

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

36887040 is a wasteful number, since it uses less digits than its factorization.

36887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36887040 is about 6073.4701777485. The cubic root of 36887040 is about 332.8827333757.

The spelling of 36887040 in words is "thirty-six million, eight hundred eighty-seven thousand, forty".