7165648 has 40 divisors (see below), whose sum is σ = 16016832. Its totient is φ = 3042048.

The previous prime is 7165633. The next prime is 7165661. The reversal of 7165648 is 8465617.

It is a super-3 number, since 3×7165648³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15111 + ... + 15577.

Almost surely, 2^7165648 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 7165648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008416).

7165648 is an abundant number, since it is smaller than the sum of its proper divisors (8851184).

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

7165648 is a wasteful number, since it uses less digits than its factorization.

7165648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 7165648 is about 2676.8728023573. The cubic root of 7165648 is about 192.7902900822.

The spelling of 7165648 in words is "seven million, one hundred sixty-five thousand, six hundred forty-eight".