1067616 has 72 divisors (see below), whose sum is σ = 3321864. Its totient is φ = 322560.

The previous prime is 1067611. The next prime is 1067621. The reversal of 1067616 is 6167601.

It is an interprime number because it is at equal distance from previous prime (1067611) and next prime (1067621).

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

It is a super-2 number, since 2×1067616² = 2279607846912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1067616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067611) 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, 3000 + ... + 3336.

It is an arithmetic number, because the mean of its divisors is an integer number (46137).

2^1067616 is an apocalyptic number.

1067616 is a gapful number since it is divisible by the number (16) 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 1067616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660932).

1067616 is an abundant number, since it is smaller than the sum of its proper divisors (2254248).

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

1067616 is a wasteful number, since it uses less digits than its factorization.

1067616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1067616 is about 1033.2550507982. The cubic root of 1067616 is about 102.2048937931.

The spelling of 1067616 in words is "one million, sixty-seven thousand, six hundred sixteen".