1625616 has 80 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 524160.

The previous prime is 1625587. The next prime is 1625629. The reversal of 1625616 is 6165261.

1625616 = 3³ + 4³ + ... + 50³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1625616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22861 + ... + 22931.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2^1625616 is an apocalyptic number.

1625616 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 1625616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

1625616 is an abundant number, since it is smaller than the sum of its proper divisors (3195504).

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

1625616 is a wasteful number, since it uses less digits than its factorization.

1625616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1625616 is about 1274.9964705834. The cubic root of 1625616 is about 117.5815881213.

It can be divided in two parts, 162 and 5616, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 1625616 in words is "one million, six hundred twenty-five thousand, six hundred sixteen".