1066645440 has 336 divisors, whose sum is σ = 4232160192. Its totient is φ = 241532928.

The previous prime is 1066645429. The next prime is 1066645477. The reversal of 1066645440 is 445466601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1066645440² = 2275464989345587200, 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 = 1066645395 and 1066645404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164952 + ... + 3165288.

Almost surely, 2^1066645440 is an apocalyptic number.

1066645440 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 1066645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116080096).

1066645440 is an abundant number, since it is smaller than the sum of its proper divisors (3165514752).

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

1066645440 is a wasteful number, since it uses less digits than its factorization.

1066645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1066645440 is about 32659.5382698531. The cubic root of 1066645440 is about 1021.7391322319.

The spelling of 1066645440 in words is "one billion, sixty-six million, six hundred forty-five thousand, four hundred forty".