1616040 has 72 divisors (see below), whose sum is σ = 5331690. Its totient is φ = 424512.

The previous prime is 1616039. The next prime is 1616047. The reversal of 1616040 is 406161.

1616040 is a `hidden beast` number, since 1 + 61 + 604 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1454436 + 161604 = 1206^2 + 402^2 .

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

It is a super-2 number, since 2×1616040² = 5223170563200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1616047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24087 + ... + 24153.

2^1616040 is an apocalyptic number.

1616040 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 1616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665845).

1616040 is an abundant number, since it is smaller than the sum of its proper divisors (3715650).

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

1616040 is a wasteful number, since it uses less digits than its factorization.

1616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1616040 is about 1271.2356193877. The cubic root of 1616040 is about 117.3502543893.

The spelling of 1616040 in words is "one million, six hundred sixteen thousand, forty".