7146636 has 48 divisors (see below), whose sum is σ = 19219200. Its totient is φ = 2024640.

The previous prime is 7146619. The next prime is 7146649. The reversal of 7146636 is 6366417.

It is a super-2 number, since 2×7146636² = 102148812232992, which contains 22 as substring.

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 = 7146597 and 7146606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12231 + ... + 12801.

It is an arithmetic number, because the mean of its divisors is an integer number (400400).

Almost surely, 2^7146636 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 7146636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609600).

7146636 is an abundant number, since it is smaller than the sum of its proper divisors (12072564).

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

7146636 is a wasteful number, since it uses less digits than its factorization.

7146636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 7146636 is about 2673.3192850836. The cubic root of 7146636 is about 192.6196344106.

The spelling of 7146636 in words is "seven million, one hundred forty-six thousand, six hundred thirty-six".