1011032064 has 224 divisors, whose sum is σ = 3428634240. Its totient is φ = 288423936.

The previous prime is 1011032063. The next prime is 1011032093. The reversal of 1011032064 is 4602301101.

It is a happy number.

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

It is a super-2 number, since 2×1011032064² = 2044371668872200192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1011032063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547962 + ... + 1548614.

Almost surely, 2^1011032064 is an apocalyptic number.

1011032064 is a gapful number since it is divisible by the number (14) 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 1011032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714317120).

1011032064 is an abundant number, since it is smaller than the sum of its proper divisors (2417602176).

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

1011032064 is an frugal number, since it uses more digits than its factorization.

1011032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1011032064 is about 31796.7303979513. The cubic root of 1011032064 is about 1003.6639140057.

Adding to 1011032064 its reverse (4602301101), we get a palindrome (5613333165).

The spelling of 1011032064 in words is "one billion, eleven million, thirty-two thousand, sixty-four".