610802640 has 480 divisors, whose sum is σ = 2544480000. Its totient is φ = 134120448.

The previous prime is 610802617. The next prime is 610802653. The reversal of 610802640 is 46208016.

610802640 is a `hidden beast` number, since 6 + 10 + 8 + 0 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3069261 + ... + 3069459.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2^610802640 is an apocalyptic number.

610802640 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 610802640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240000).

610802640 is an abundant number, since it is smaller than the sum of its proper divisors (1933677360).

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

610802640 is a wasteful number, since it uses less digits than its factorization.

610802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 610802640 is about 24714.4217006994. The cubic root of 610802640 is about 848.4644201647.

The spelling of 610802640 in words is "six hundred ten million, eight hundred two thousand, six hundred forty".