1055735616 has 224 divisors, whose sum is σ = 3133831680. Its totient is φ = 311629824.

The previous prime is 1055735591. The next prime is 1055735617. The reversal of 1055735616 is 6165375501.

It is a super-2 number, since 2×1055735616² = 2229155381781798912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055735617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9866635 + ... + 9866741.

It is an arithmetic number, because the mean of its divisors is an integer number (13990320).

Almost surely, 2^1055735616 is an apocalyptic number.

1055735616 is a gapful number since it is divisible by the number (16) 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 1055735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566915840).

1055735616 is an abundant number, since it is smaller than the sum of its proper divisors (2078096064).

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

1055735616 is a wasteful number, since it uses less digits than its factorization.

1055735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 1055735616 is about 32492.0854363028. The cubic root of 1055735616 is about 1018.2436826820.

The spelling of 1055735616 in words is "one billion, fifty-five million, seven hundred thirty-five thousand, six hundred sixteen".