7834536 has 128 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2337984.

The previous prime is 7834529. The next prime is 7834543. The reversal of 7834536 is 6354387.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7834529) and next prime (7834543).

It is a super-2 number, since 2×7834536² = 122759908670592, which contains 22 as substring.

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

Its product of digits (60480) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 7834536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94351 + ... + 94433.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^7834536 is an apocalyptic number.

7834536 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 7834536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

7834536 is an abundant number, since it is smaller than the sum of its proper divisors (16357464).

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

7834536 is a wasteful number, since it uses less digits than its factorization.

7834536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 7834536 is about 2799.0241156517. The cubic root of 7834536 is about 198.6115162041.

The spelling of 7834536 in words is "seven million, eight hundred thirty-four thousand, five hundred thirty-six".