1735420064 has 72 divisors (see below), whose sum is σ = 4033985760. Its totient is φ = 732606336.

The previous prime is 1735420051. The next prime is 1735420069. The reversal of 1735420064 is 4600245371.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1735420064.

It is not an unprimeable number, because it can be changed into a prime (1735420069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96797 + ... + 113315.

It is an arithmetic number, because the mean of its divisors is an integer number (56027580).

Almost surely, 2^1735420064 is an apocalyptic number.

1735420064 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 1735420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016992880).

1735420064 is an abundant number, since it is smaller than the sum of its proper divisors (2298565696).

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

1735420064 is a wasteful number, since it uses less digits than its factorization.

1735420064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16610 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 1735420064 is about 41658.3732759694. The cubic root of 1735420064 is about 1201.7151547762.

The spelling of 1735420064 in words is "one billion, seven hundred thirty-five million, four hundred twenty thousand, sixty-four".