1616020 has 72 divisors (see below), whose sum is σ = 4223016. Its totient is φ = 516096.

The previous prime is 1616009. The next prime is 1616029. The reversal of 1616020 is 206161.

1616020 = 78² + 79² + ... + 174².

It can be written as a sum of positive squares in 4 ways, for example, as 298116 + 1317904 = 546^2 + 1148^2 .

It is a super-2 number, since 2×1616020² = 5223041280800, which contains 22 as substring.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1615985 and 1616003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16612 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (58653).

2^1616020 is an apocalyptic number.

1616020 is a gapful number since it is divisible by the number (10) 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 1616020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111508).

1616020 is an abundant number, since it is smaller than the sum of its proper divisors (2606996).

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

1616020 is a wasteful number, since it uses less digits than its factorization.

1616020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1616020 is about 1271.2277530010. The cubic root of 1616020 is about 117.3497702811.

The spelling of 1616020 in words is "one million, six hundred sixteen thousand, twenty".