616661760 has 288 divisors, whose sum is σ = 2315835648. Its totient is φ = 137871360.

The previous prime is 616661743. The next prime is 616661779. The reversal of 616661760 is 67166616.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548559 + ... + 549681.

It is an arithmetic number, because the mean of its divisors is an integer number (8041096).

Almost surely, 2^616661760 is an apocalyptic number.

616661760 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 616661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157917824).

616661760 is an abundant number, since it is smaller than the sum of its proper divisors (1699173888).

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

616661760 is a wasteful number, since it uses less digits than its factorization.

616661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 616661760 is about 24832.6752485511. The cubic root of 616661760 is about 851.1687543885.

The spelling of 616661760 in words is "six hundred sixteen million, six hundred sixty-one thousand, seven hundred sixty".