361158840 has 288 divisors, whose sum is σ = 1419331680. Its totient is φ = 78008832.

The previous prime is 361158767. The next prime is 361158841. The reversal of 361158840 is 48851163.

361158840 is a `hidden beast` number, since 36 + 1 + 1 + 588 + 40 = 666.

361158840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 361158795 and 361158804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361158841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909522 + ... + 909918.

It is an arithmetic number, because the mean of its divisors is an integer number (4928235).

Almost surely, 2^361158840 is an apocalyptic number.

361158840 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 361158840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709665840).

361158840 is an abundant number, since it is smaller than the sum of its proper divisors (1058172840).

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

361158840 is a wasteful number, since it uses less digits than its factorization.

361158840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 361158840 is about 19004.1795403011. The cubic root of 361158840 is about 712.1411526318.

It can be divided in two parts, 361 and 158840, that added together give a square (159201 = 399²).

The spelling of 361158840 in words is "three hundred sixty-one million, one hundred fifty-eight thousand, eight hundred forty".