616097664 has 320 divisors, whose sum is σ = 2260067040. Its totient is φ = 162238464.

The previous prime is 616097653. The next prime is 616097681. The reversal of 616097664 is 466790616.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 943162 + ... + 943814.

Almost surely, 2^616097664 is an apocalyptic number.

616097664 is a gapful number since it is divisible by the number (64) 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 616097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130033520).

616097664 is an abundant number, since it is smaller than the sum of its proper divisors (1643969376).

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

616097664 is a wasteful number, since it uses less digits than its factorization.

616097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 616097664 is about 24821.3147113524. The cubic root of 616097664 is about 850.9091375291.

The spelling of 616097664 in words is "six hundred sixteen million, ninety-seven thousand, six hundred sixty-four".