1064832000 has 352 divisors, whose sum is σ = 3678704640. Its totient is φ = 273203200.

The previous prime is 1064831987. The next prime is 1064832011. The reversal of 1064832000 is 2384601.

It is a happy number.

It is a super-2 number, since 2×1064832000² = 2267734376448000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18047971 + ... + 18048029.

Almost surely, 2^1064832000 is an apocalyptic number.

1064832000 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 1064832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839352320).

1064832000 is an abundant number, since it is smaller than the sum of its proper divisors (2613872640).

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

1064832000 is an equidigital number, since it uses as much as digits as its factorization.

1064832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1064832000 is about 32631.7636667098. The cubic root of 1064832000 is about 1021.1597726892.

The spelling of 1064832000 in words is "one billion, sixty-four million, eight hundred thirty-two thousand".