1616667360 has 768 divisors, whose sum is σ = 7023034368. Its totient is φ = 302284800.

The previous prime is 1616667359. The next prime is 1616667361. The reversal of 1616667360 is 637666161.

It is an interprime number because it is at equal distance from previous prime (1616667359) and next prime (1616667361).

It is a super-2 number, since 2×1616667360² = 5227226705778739200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616667361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19477879 + ... + 19477961.

It is an arithmetic number, because the mean of its divisors is an integer number (9144576).

Almost surely, 2^1616667360 is an apocalyptic number.

1616667360 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 1616667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511517184).

1616667360 is an abundant number, since it is smaller than the sum of its proper divisors (5406367008).

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

1616667360 is a wasteful number, since it uses less digits than its factorization.

1616667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 1616667360 is about 40207.8022279259. The cubic root of 1616667360 is about 1173.6543786885.

The spelling of 1616667360 in words is "one billion, six hundred sixteen million, six hundred sixty-seven thousand, three hundred sixty".