7540608 has 64 divisors (see below), whose sum is σ = 20379600. Its totient is φ = 2469888.

The previous prime is 7540601. The next prime is 7540651. The reversal of 7540608 is 8060457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27898 + ... + 28166.

Almost surely, 2^7540608 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 7540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189800).

7540608 is an abundant number, since it is smaller than the sum of its proper divisors (12838992).

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

7540608 is a wasteful number, since it uses less digits than its factorization.

7540608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7540608 is about 2746.0167515877. The cubic root of 7540608 is about 196.0960240299.

The spelling of 7540608 in words is "seven million, five hundred forty thousand, six hundred eight".