610064640 has 108 divisors (see below), whose sum is σ = 2110799964. Its totient is φ = 162680832.

The previous prime is 610064639. The next prime is 610064659. The reversal of 610064640 is 46460016.

610064640 is a `hidden beast` number, since 6 + 10 + 0 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 528632064 = 9024^2 + 22992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14959 + ... + 37998.

Almost surely, 2^610064640 is an apocalyptic number.

610064640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610064640 is an abundant number, since it is smaller than the sum of its proper divisors (1500735324).

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

610064640 is a wasteful number, since it uses less digits than its factorization.

610064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52984 (or 52967 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 610064640 is about 24699.4866343412. The cubic root of 610064640 is about 848.1225644608.

The spelling of 610064640 in words is "six hundred ten million, sixty-four thousand, six hundred forty".