1026152064 has 224 divisors, whose sum is σ = 3505119840. Its totient is φ = 292999680.

The previous prime is 1026152063. The next prime is 1026152077. The reversal of 1026152064 is 4602516201.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1026152063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652399 + ... + 653969.

Almost surely, 2^1026152064 is an apocalyptic number.

1026152064 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 1026152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752559920).

1026152064 is an abundant number, since it is smaller than the sum of its proper divisors (2478967776).

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

1026152064 is an frugal number, since it uses more digits than its factorization.

1026152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1026152064 is about 32033.6083512301. The cubic root of 1026152064 is about 1008.6424475927.

Adding to 1026152064 its reverse (4602516201), we get a palindrome (5628668265).

The spelling of 1026152064 in words is "one billion, twenty-six million, one hundred fifty-two thousand, sixty-four".