1061566416 has 30 divisors (see below), whose sum is σ = 2970911970. Its totient is φ = 353855424.

The previous prime is 1061566399. The next prime is 1061566417. The reversal of 1061566416 is 6146651601.

It is a happy number.

1061566416 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 6 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1057550400 + 4016016 = 32520^2 + 2004^2 .

It is a super-2 number, since 2×1061566416² = 2253846511158170112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061566417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3685851 + ... + 3686138.

It is an arithmetic number, because the mean of its divisors is an integer number (99030399).

Almost surely, 2^1061566416 is an apocalyptic number.

1061566416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1061566416 is an abundant number, since it is smaller than the sum of its proper divisors (1909345554).

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

1061566416 is a wasteful number, since it uses less digits than its factorization.

1061566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372003 (or 7371994 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1061566416 is about 32581.6883540433. The cubic root of 1061566416 is about 1020.1148198311.

The spelling of 1061566416 in words is "one billion, sixty-one million, five hundred sixty-six thousand, four hundred sixteen".