1060761600 has 234 divisors, whose sum is σ = 3802720896. Its totient is φ = 282624000.

The previous prime is 1060761593. The next prime is 1060761607. The reversal of 1060761600 is 61670601.

1060761600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1060761593) and next prime (1060761607).

It is a super-2 number, since 2×1060761600² = 2250430344069120000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1060761607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921025 + ... + 922175.

It is an arithmetic number, because the mean of its divisors is an integer number (16250944).

Almost surely, 2^1060761600 is an apocalyptic number.

1060761600 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 1060761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901360448).

1060761600 is an abundant number, since it is smaller than the sum of its proper divisors (2741959296).

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

1060761600 is a wasteful number, since it uses less digits than its factorization.

1060761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1060761600 is about 32569.3352710798. The cubic root of 1060761600 is about 1019.8569580265.

Subtracting from 1060761600 its reverse (61670601), we obtain a palindrome (999090999).

The spelling of 1060761600 in words is "one billion, sixty million, seven hundred sixty-one thousand, six hundred".