1062664416 has 144 divisors (see below), whose sum is σ = 3359406960. Its totient is φ = 315893760.

The previous prime is 1062664409. The next prime is 1062664439. The reversal of 1062664416 is 6144662601.

1062664416 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1062664416² = 2258511322065242112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164740 + ... + 171068.

It is an arithmetic number, because the mean of its divisors is an integer number (23329215).

Almost surely, 2^1062664416 is an apocalyptic number.

1062664416 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 1062664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679703480).

1062664416 is an abundant number, since it is smaller than the sum of its proper divisors (2296742544).

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

1062664416 is a wasteful number, since it uses less digits than its factorization.

1062664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1062664416 is about 32598.5339547655. The cubic root of 1062664416 is about 1020.4664072278.

The spelling of 1062664416 in words is "one billion, sixty-two million, six hundred sixty-four thousand, four hundred sixteen".