7136856 has 128 divisors (see below), whose sum is σ = 21888000. Its totient is φ = 2146176.

The previous prime is 7136807. The next prime is 7136863. The reversal of 7136856 is 6586317.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (108).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 7136856.

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, 151825 + ... + 151871.

It is an arithmetic number, because the mean of its divisors is an integer number (171000).

Almost surely, 2^7136856 is an apocalyptic number.

7136856 is a gapful number since it is divisible by the number (76) 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 7136856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944000).

7136856 is an abundant number, since it is smaller than the sum of its proper divisors (14751144).

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

7136856 is a wasteful number, since it uses less digits than its factorization.

7136856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7136856 is about 2671.4894721859. The cubic root of 7136856 is about 192.5317291827.

It can be divided in two parts, 713 and 6856, that added together give a square (7569 = 87²).

The spelling of 7136856 in words is "seven million, one hundred thirty-six thousand, eight hundred fifty-six".