361607040 has 192 divisors, whose sum is σ = 1268663760. Its totient is φ = 94887936.

The previous prime is 361607039. The next prime is 361607083. The reversal of 361607040 is 40706163.

361607040 is a `hidden beast` number, since 3 + 616 + 0 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 361606995 and 361607013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385452 + ... + 386388.

Almost surely, 2^361607040 is an apocalyptic number.

361607040 is a gapful number since it is divisible by the number (30) 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 361607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634331880).

361607040 is an abundant number, since it is smaller than the sum of its proper divisors (907056720).

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

361607040 is a wasteful number, since it uses less digits than its factorization.

361607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 361607040 is about 19015.9680268978. The cubic root of 361607040 is about 712.4356211453.

The spelling of 361607040 in words is "three hundred sixty-one million, six hundred seven thousand, forty".