1616896512 has 640 divisors, whose sum is σ = 6285312000. Its totient is φ = 406425600.

The previous prime is 1616896507. The next prime is 1616896513. The reversal of 1616896512 is 2156986161.

It is a super-2 number, since 2×1616896512² = 5228708661035532288, which contains 22 as substring.

Its product of digits (155520) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616896513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52157937 + ... + 52157967.

It is an arithmetic number, because the mean of its divisors is an integer number (9820800).

Almost surely, 2^1616896512 is an apocalyptic number.

1616896512 is a gapful number since it is divisible by the number (12) 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 1616896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656000).

1616896512 is an abundant number, since it is smaller than the sum of its proper divisors (4668415488).

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

1616896512 is an equidigital number, since it uses as much as digits as its factorization.

1616896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1616896512 is about 40210.6517231442. The cubic root of 1616896512 is about 1173.7098286734.

The spelling of 1616896512 in words is "one billion, six hundred sixteen million, eight hundred ninety-six thousand, five hundred twelve".