7601216 has 84 divisors (see below), whose sum is σ = 18580608. Its totient is φ = 3020544.

The previous prime is 7601213. The next prime is 7601249. The reversal of 7601216 is 6121067.

It is a junction number, because it is equal to n+sod(n) for n = 7601191 and 7601200.

It is not an unprimeable number, because it can be changed into a prime (7601213) 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, 161705 + ... + 161751.

Almost surely, 2^7601216 is an apocalyptic number.

7601216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290304).

7601216 is an abundant number, since it is smaller than the sum of its proper divisors (10979392).

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

7601216 is a wasteful number, since it uses less digits than its factorization.

7601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 7601216 is about 2757.0302863770. The cubic root of 7601216 is about 196.6199997799.

The spelling of 7601216 in words is "seven million, six hundred one thousand, two hundred sixteen".