1616683264 has 81 divisors (see below), whose sum is σ = 3764402607. Its totient is φ = 690934272.

The previous prime is 1616683261. The next prime is 1616683273. The reversal of 1616683264 is 4623866161.

It is a happy number.

The square root of 1616683264 is 40208.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1616683264² = 5227329552195387392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1616683264.

It is not an unprimeable number, because it can be changed into a prime (1616683261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4503117 + ... + 4503475.

Almost surely, 2^1616683264 is an apocalyptic number.

1616683264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1616683264 is the 40208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616683264

1616683264 is an abundant number, since it is smaller than the sum of its proper divisors (2147719343).

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

1616683264 is an frugal number, since it uses more digits than its factorization.

1616683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 368 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The cubic root of 1616683264 is about 1173.6582272927.

The spelling of 1616683264 in words is "one billion, six hundred sixteen million, six hundred eighty-three thousand, two hundred sixty-four".