7148680 has 96 divisors (see below), whose sum is σ = 20301120. Its totient is φ = 2217600.

The previous prime is 7148663. The next prime is 7148683. The reversal of 7148680 is 868417.

It is a happy number.

It is a super-2 number, since 2×7148680² = 102207251484800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7148683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33775 + ... + 33985.

It is an arithmetic number, because the mean of its divisors is an integer number (211470).

Almost surely, 2^7148680 is an apocalyptic number.

7148680 is a gapful number since it is divisible by the number (70) 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 7148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150560).

7148680 is an abundant number, since it is smaller than the sum of its proper divisors (13152440).

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

7148680 is a wasteful number, since it uses less digits than its factorization.

7148680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 7148680 is about 2673.7015540258. The cubic root of 7148680 is about 192.6379962899.

The spelling of 7148680 in words is "seven million, one hundred forty-eight thousand, six hundred eighty".