2987136 has 48 divisors (see below), whose sum is σ = 8599110. Its totient is φ = 995328.

The previous prime is 2987113. The next prime is 2987141. The reversal of 2987136 is 6317892.

It can be written as a sum of positive squares in only one way, i.e., 2433600 + 553536 = 1560^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2987136.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145 + ... + 2448.

2^2987136 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 2987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299555).

2987136 is an abundant number, since it is smaller than the sum of its proper divisors (5611974).

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

2987136 is a wasteful number, since it uses less digits than its factorization.

2987136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2598 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2987136 is about 1728.3333011893. Note that the first 4 decimals coincide. The cubic root of 2987136 is about 144.0185161375.

The spelling of 2987136 in words is "two million, nine hundred eighty-seven thousand, one hundred thirty-six".