610350432 has 48 divisors (see below), whose sum is σ = 1610606592. Its totient is φ = 202378880.

The previous prime is 610350407. The next prime is 610350487. The reversal of 610350432 is 234053016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1693 + ... + 34979.

It is an arithmetic number, because the mean of its divisors is an integer number (33554304).

Almost surely, 2^610350432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805303296).

610350432 is an abundant number, since it is smaller than the sum of its proper divisors (1000256160).

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

610350432 is a wasteful number, since it uses less digits than its factorization.

610350432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33491 (or 33483 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 610350432 is about 24705.2713403435. The cubic root of 610350432 is about 848.2549814695.

The spelling of 610350432 in words is "six hundred ten million, three hundred fifty thousand, four hundred thirty-two".