7541360 has 40 divisors (see below), whose sum is σ = 17717616. Its totient is φ = 2984960.

The previous prime is 7541333. The next prime is 7541371. The reversal of 7541360 is 631457.

7541360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7541360² = 113744221299200, which contains 22 as substring.

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, 8120 + ... + 9000.

Almost surely, 2^7541360 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 7541360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858808).

7541360 is an abundant number, since it is smaller than the sum of its proper divisors (10176256).

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

7541360 is a wasteful number, since it uses less digits than its factorization.

7541360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 7541360 is about 2746.1536737772. The cubic root of 7541360 is about 196.1025424834.

Subtracting from 7541360 its reverse (631457), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 7541360 in words is "seven million, five hundred forty-one thousand, three hundred sixty".