1066292640 has 384 divisors, whose sum is σ = 4385041920. Its totient is φ = 236888064.

The previous prime is 1066292639. The next prime is 1066292657. The reversal of 1066292640 is 462926601.

1066292640 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 9 + 2 + 640 = 666.

It is a super-2 number, since 2×1066292640² = 2273959988236339200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1066292595 and 1066292604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118404 + ... + 1119356.

It is an arithmetic number, because the mean of its divisors is an integer number (11419380).

Almost surely, 2^1066292640 is an apocalyptic number.

1066292640 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 1066292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192520960).

1066292640 is an abundant number, since it is smaller than the sum of its proper divisors (3318749280).

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

1066292640 is a wasteful number, since it uses less digits than its factorization.

1066292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1066292640 is about 32654.1366445356. The cubic root of 1066292640 is about 1021.6264708288.

The spelling of 1066292640 in words is "one billion, sixty-six million, two hundred ninety-two thousand, six hundred forty".