1066153536 has 224 divisors, whose sum is σ = 3771392000. Its totient is φ = 288520704.

The previous prime is 1066153493. The next prime is 1066153577. The reversal of 1066153536 is 6353516601.

1066153536 is a `hidden beast` number, since 1 + 0 + 6 + 615 + 3 + 5 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1066153536² = 2273366724650606592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1066153536.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227505 + ... + 232143.

Almost surely, 2^1066153536 is an apocalyptic number.

1066153536 is a gapful number since it is divisible by the number (16) 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 1066153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885696000).

1066153536 is an abundant number, since it is smaller than the sum of its proper divisors (2705238464).

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

1066153536 is a wasteful number, since it uses less digits than its factorization.

1066153536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1066153536 is about 32652.0066152143. The cubic root of 1066153536 is about 1021.5820432162.

The spelling of 1066153536 in words is "one billion, sixty-six million, one hundred fifty-three thousand, five hundred thirty-six".