1029290064 has 80 divisors (see below), whose sum is σ = 2908099584. Its totient is φ = 311113600.

The previous prime is 1029290057. The next prime is 1029290071. The reversal of 1029290064 is 4600929201.

1029290064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1029290057) and next prime (1029290071).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 225307 + ... + 229829.

Almost surely, 2^1029290064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029290064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454049792).

1029290064 is an abundant number, since it is smaller than the sum of its proper divisors (1878809520).

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

1029290064 is a wasteful number, since it uses less digits than its factorization.

1029290064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1029290064 is about 32082.5507714084. The cubic root of 1029290064 is about 1009.6695530421.

The spelling of 1029290064 in words is "one billion, twenty-nine million, two hundred ninety thousand, sixty-four".