7949088 has 72 divisors (see below), whose sum is σ = 25841088. Its totient is φ = 2270592.

The previous prime is 7949083. The next prime is 7949101. The reversal of 7949088 is 8809497.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (7949083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 3987.

It is an arithmetic number, because the mean of its divisors is an integer number (358904).

Almost surely, 2^7949088 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 7949088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920544).

7949088 is an abundant number, since it is smaller than the sum of its proper divisors (17892000).

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

7949088 is a wasteful number, since it uses less digits than its factorization.

7949088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7949088 is about 2819.4127048022. The cubic root of 7949088 is about 199.5748301267.

The spelling of 7949088 in words is "seven million, nine hundred forty-nine thousand, eighty-eight".