1006653440 has 208 divisors, whose sum is σ = 2752176000. Its totient is φ = 350355456.

The previous prime is 1006653437. The next prime is 1006653451. The reversal of 1006653440 is 443566001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×1006653440² = 2026702296527667200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5058461 + ... + 5058659.

Almost surely, 2^1006653440 is an apocalyptic number.

1006653440 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 1006653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376088000).

1006653440 is an abundant number, since it is smaller than the sum of its proper divisors (1745522560).

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

1006653440 is a wasteful number, since it uses less digits than its factorization.

1006653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1006653440 is about 31727.8023191018. The cubic root of 1006653440 is about 1002.2129127383.

The spelling of 1006653440 in words is "one billion, six million, six hundred fifty-three thousand, four hundred forty".