1061682048 has 288 divisors, whose sum is σ = 3634141680. Its totient is φ = 291409920.

The previous prime is 1061682043. The next prime is 1061682077. The reversal of 1061682048 is 8402861601.

1061682048 is a `hidden beast` number, since 10 + 616 + 8 + 20 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1061682048² = 2254337542090948608, 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 (1061682043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7749436 + ... + 7749572.

Almost surely, 2^1061682048 is an apocalyptic number.

1061682048 is a gapful number since it is divisible by the number (18) 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 1061682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817070840).

1061682048 is an abundant number, since it is smaller than the sum of its proper divisors (2572459632).

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

1061682048 is a wasteful number, since it uses less digits than its factorization.

1061682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1061682048 is about 32583.4627994018. The cubic root of 1061682048 is about 1020.1518574365.

The spelling of 1061682048 in words is "one billion, sixty-one million, six hundred eighty-two thousand, forty-eight".