1061014680 has 512 divisors, whose sum is σ = 4136140800. Its totient is φ = 239500800.

The previous prime is 1061014651. The next prime is 1061014697. The reversal of 1061014680 is 864101601.

1061014680 is a `hidden beast` number, since 1 + 0 + 610 + 1 + 46 + 8 + 0 = 666.

It is a super-2 number, since 2×1061014680² = 2251504302351004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15836007 + ... + 15836073.

It is an arithmetic number, because the mean of its divisors is an integer number (8078400).

Almost surely, 2^1061014680 is an apocalyptic number.

1061014680 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 1061014680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068070400).

1061014680 is an abundant number, since it is smaller than the sum of its proper divisors (3075126120).

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

1061014680 is a wasteful number, since it uses less digits than its factorization.

1061014680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1061014680 is about 32573.2202890657. The cubic root of 1061014680 is about 1019.9380585223.

The spelling of 1061014680 in words is "one billion, sixty-one million, fourteen thousand, six hundred eighty".