1616006040 has 128 divisors (see below), whose sum is σ = 5388768000. Its totient is φ = 384350720.

The previous prime is 1616006027. The next prime is 1616006081. The reversal of 1616006040 is 406006161.

It is a super-2 number, since 2×1616006040² = 5222951042632963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1616006040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58411 + ... + 81509.

It is an arithmetic number, because the mean of its divisors is an integer number (42099750).

Almost surely, 2^1616006040 is an apocalyptic number.

1616006040 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 1616006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694384000).

1616006040 is an abundant number, since it is smaller than the sum of its proper divisors (3772761960).

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

1616006040 is a wasteful number, since it uses less digits than its factorization.

1616006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23177 (or 23173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1616006040 is about 40199.5776097212. The cubic root of 1616006040 is about 1173.4943237116.

The spelling of 1616006040 in words is "one billion, six hundred sixteen million, six thousand, forty".