1007616 has 56 divisors (see below), whose sum is σ = 2752344. Its totient is φ = 327680.

The previous prime is 1007609. The next prime is 1007647. The reversal of 1007616 is 6167001.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1007592 and 1007601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24556 + ... + 24596.

It is an arithmetic number, because the mean of its divisors is an integer number (49149).

2^1007616 is an apocalyptic number.

1007616 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 1007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376172).

1007616 is an abundant number, since it is smaller than the sum of its proper divisors (1744728).

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

1007616 is an frugal number, since it uses more digits than its factorization.

1007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1007616 is about 1003.8007770469. The cubic root of 1007616 is about 100.2532248969.

The spelling of 1007616 in words is "one million, seven thousand, six hundred sixteen".