1612934064 has 240 divisors, whose sum is σ = 5571072000. Its totient is φ = 425424384.

The previous prime is 1612934053. The next prime is 1612934069. The reversal of 1612934064 is 4604392161.

1612934064 is a `hidden beast` number, since 1 + 612 + 9 + 34 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1612934069) 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 47 ways as a sum of consecutive naturals, for example, 671137 + ... + 673535.

It is an arithmetic number, because the mean of its divisors is an integer number (23212800).

Almost surely, 2^1612934064 is an apocalyptic number.

1612934064 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 1612934064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536000).

1612934064 is an abundant number, since it is smaller than the sum of its proper divisors (3958137936).

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

1612934064 is a wasteful number, since it uses less digits than its factorization.

1612934064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1612934064 is about 40161.3503757033. The cubic root of 1612934064 is about 1172.7502602571.

The spelling of 1612934064 in words is "one billion, six hundred twelve million, nine hundred thirty-four thousand, sixty-four".