246116640 has 192 divisors, whose sum is σ = 966712320. Its totient is φ = 51133440.

The previous prime is 246116623. The next prime is 246116641. The reversal of 246116640 is 46611642.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 246116598 and 246116607.

It is not an unprimeable number, because it can be changed into a prime (246116641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33631 + ... + 40289.

It is an arithmetic number, because the mean of its divisors is an integer number (5034960).

Almost surely, 2^246116640 is an apocalyptic number.

246116640 is a gapful number since it is divisible by the number (20) 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 246116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483356160).

246116640 is an abundant number, since it is smaller than the sum of its proper divisors (720595680).

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

246116640 is a wasteful number, since it uses less digits than its factorization.

246116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 246116640 is about 15688.1050480930. The cubic root of 246116640 is about 626.6816705829.

It can be divided in two parts, 246 and 116640, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 246116640 in words is "two hundred forty-six million, one hundred sixteen thousand, six hundred forty".