1959434064 has 200 divisors, whose sum is σ = 6513416448. Its totient is φ = 557072640.

The previous prime is 1959434053. The next prime is 1959434069. The reversal of 1959434064 is 4604349591.

1959434064 is a `hidden beast` number, since 19 + 594 + 3 + 40 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959434069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2458114 + ... + 2458910.

Almost surely, 2^1959434064 is an apocalyptic number.

1959434064 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 1959434064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256708224).

1959434064 is an abundant number, since it is smaller than the sum of its proper divisors (4553982384).

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

1959434064 is a wasteful number, since it uses less digits than its factorization.

1959434064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1959434064 is about 44265.4951853021. The cubic root of 1959434064 is about 1251.3444870186.

The spelling of 1959434064 in words is "one billion, nine hundred fifty-nine million, four hundred thirty-four thousand, sixty-four".