1301616 has 80 divisors (see below), whose sum is σ = 3928320. Its totient is φ = 411840.

The previous prime is 1301603. The next prime is 1301617. The reversal of 1301616 is 6161031.

It is a super-2 number, since 2×1301616² = 3388408422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9871 + ... + 10001.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2^1301616 is an apocalyptic number.

1301616 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 1301616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964160).

1301616 is an abundant number, since it is smaller than the sum of its proper divisors (2626704).

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

1301616 is a wasteful number, since it uses less digits than its factorization.

1301616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1301616 is about 1140.8838678849. The cubic root of 1301616 is about 109.1844924241.

Multiplying 1301616 by its product of nonzero digits (108), we get a triangular number (140574528 = T₁₆₇₆₇).

Adding to 1301616 its reverse (6161031), we get a palindrome (7462647).

The spelling of 1301616 in words is "one million, three hundred one thousand, six hundred sixteen".