616465080 has 480 divisors, whose sum is σ = 2636861040. Its totient is φ = 127733760.

The previous prime is 616465049. The next prime is 616465111. The reversal of 616465080 is 80564616.

616465080 is a `hidden beast` number, since 6 + 1 + 646 + 5 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (616465049) and next prime (616465111).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1746184 + ... + 1746536.

Almost surely, 2^616465080 is an apocalyptic number.

616465080 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 616465080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318430520).

616465080 is an abundant number, since it is smaller than the sum of its proper divisors (2020395960).

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

616465080 is a wasteful number, since it uses less digits than its factorization.

616465080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 616465080 is about 24828.7148277957. The cubic root of 616465080 is about 851.0782533054.

The spelling of 616465080 in words is "six hundred sixteen million, four hundred sixty-five thousand, eighty".