361242640 has 80 divisors (see below), whose sum is σ = 919226880. Its totient is φ = 130933760.

The previous prime is 361242569. The next prime is 361242653. The reversal of 361242640 is 46242163.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 361242599 and 361242608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421092 + ... + 421948.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^361242640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

361242640 is an abundant number, since it is smaller than the sum of its proper divisors (557984240).

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

361242640 is a wasteful number, since it uses less digits than its factorization.

361242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 361242640 is about 19006.3841905819. The cubic root of 361242640 is about 712.1962279495.

It can be divided in two parts, 36 and 1242640, that added together give a triangular number (1242676 = T₁₅₇₆).

The spelling of 361242640 in words is "three hundred sixty-one million, two hundred forty-two thousand, six hundred forty".