610872840 has 128 divisors (see below), whose sum is σ = 2061676800. Its totient is φ = 162876096.

The previous prime is 610872839. The next prime is 610872863. The reversal of 610872840 is 48278016.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 610872795 and 610872804.

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, 83989 + ... + 90971.

It is an arithmetic number, because the mean of its divisors is an integer number (16106850).

Almost surely, 2^610872840 is an apocalyptic number.

610872840 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 610872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030838400).

610872840 is an abundant number, since it is smaller than the sum of its proper divisors (1450803960).

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

610872840 is an equidigital number, since it uses as much as digits as its factorization.

610872840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 610872840 is about 24715.8418832942. The cubic root of 610872840 is about 848.4969238010.

The spelling of 610872840 in words is "six hundred ten million, eight hundred seventy-two thousand, eight hundred forty".