610441920 has 280 divisors, whose sum is σ = 2369960208. Its totient is φ = 147916800.

The previous prime is 610441903. The next prime is 610441999. The reversal of 610441920 is 29144016.

610441920 is a `hidden beast` number, since 610 + 4 + 41 + 9 + 2 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 284050 + ... + 286190.

Almost surely, 2^610441920 is an apocalyptic number.

610441920 is a gapful number since it is divisible by the number (60) 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 610441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184980104).

610441920 is an abundant number, since it is smaller than the sum of its proper divisors (1759518288).

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

610441920 is a wasteful number, since it uses less digits than its factorization.

610441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 610441920 is about 24707.1228596128. The cubic root of 610441920 is about 848.2973621907.

Adding to 610441920 its reverse (29144016), we get a palindrome (639585936).

The spelling of 610441920 in words is "six hundred ten million, four hundred forty-one thousand, nine hundred twenty".