610436736 has 320 divisors, whose sum is σ = 2239332480. Its totient is φ = 160745472.

The previous prime is 610436657. The next prime is 610436737. The reversal of 610436736 is 637634016.

It is a happy number.

610436736 is a `hidden beast` number, since 610 + 4 + 3 + 6 + 7 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 610436736.

It is not an unprimeable number, because it can be changed into a prime (610436737) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943165 + ... + 943811.

It is an arithmetic number, because the mean of its divisors is an integer number (6997914).

Almost surely, 2^610436736 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 610436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119666240).

610436736 is an abundant number, since it is smaller than the sum of its proper divisors (1628895744).

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

610436736 is a wasteful number, since it uses less digits than its factorization.

610436736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 610436736 is about 24707.0179503719. The cubic root of 610436736 is about 848.2949608779.

610436736 divided by its sum of digits (36) gives a triangular number (16956576 = T₅₈₂₃).

The spelling of 610436736 in words is "six hundred ten million, four hundred thirty-six thousand, seven hundred thirty-six".