610087680 has 288 divisors, whose sum is σ = 2197708800. Its totient is φ = 160247808.

The previous prime is 610087649. The next prime is 610087711. The reversal of 610087680 is 86780016.

It is an interprime number because it is at equal distance from previous prime (610087649) and next prime (610087711).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4389051 + ... + 4389189.

Almost surely, 2^610087680 is an apocalyptic number.

610087680 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 610087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098854400).

610087680 is an abundant number, since it is smaller than the sum of its proper divisors (1587621120).

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

610087680 is a wasteful number, since it uses less digits than its factorization.

610087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 610087680 is about 24699.9530363926. The cubic root of 610087680 is about 848.1332411971.

The spelling of 610087680 in words is "six hundred ten million, eighty-seven thousand, six hundred eighty".