7466016 has 48 divisors (see below), whose sum is σ = 19855584. Its totient is φ = 2456064.

The previous prime is 7465979. The next prime is 7466033. The reversal of 7466016 is 6106647.

It is a tau number, because it is divible by the number of its divisors (48).

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, 7500 + ... + 8436.

It is an arithmetic number, because the mean of its divisors is an integer number (413658).

Almost surely, 2^7466016 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 7466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927792).

7466016 is an abundant number, since it is smaller than the sum of its proper divisors (12389568).

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

7466016 is a wasteful number, since it uses less digits than its factorization.

7466016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 7466016 is about 2732.4011418531. The cubic root of 7466016 is about 195.4472835757.

The spelling of 7466016 in words is "seven million, four hundred sixty-six thousand, sixteen".