7871136 has 192 divisors, whose sum is σ = 27433728. Its totient is φ = 1916928.

The previous prime is 7871113. The next prime is 7871141. The reversal of 7871136 is 6311787.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7871097 and 7871106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148486 + ... + 148538.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 2^7871136 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 7871136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

7871136 is an abundant number, since it is smaller than the sum of its proper divisors (19562592).

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

7871136 is a wasteful number, since it uses less digits than its factorization.

7871136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 7871136 is about 2805.5544906489. The cubic root of 7871136 is about 198.9203152257.

The spelling of 7871136 in words is "seven million, eight hundred seventy-one thousand, one hundred thirty-six".