616297680 has 160 divisors (see below), whose sum is σ = 2234678400. Its totient is φ = 155685888.

The previous prime is 616297603. The next prime is 616297729. The reversal of 616297680 is 86792616.

616297680 is a `hidden beast` number, since 616 + 29 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33532 + ... + 48548.

It is an arithmetic number, because the mean of its divisors is an integer number (13966740).

Almost surely, 2^616297680 is an apocalyptic number.

616297680 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 616297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117339200).

616297680 is an abundant number, since it is smaller than the sum of its proper divisors (1618380720).

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

616297680 is a wasteful number, since it uses less digits than its factorization.

616297680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15058 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 616297680 is about 24825.3435021552. The cubic root of 616297680 is about 851.0012100675.

The spelling of 616297680 in words is "six hundred sixteen million, two hundred ninety-seven thousand, six hundred eighty".