361587240 has 320 divisors, whose sum is σ = 1411344000. Its totient is φ = 81326592.

The previous prime is 361587211. The next prime is 361587269. The reversal of 361587240 is 42785163.

361587240 = 1741² + 1742² + ... + 1852².

361587240 is a `hidden beast` number, since 36 + 1 + 587 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (361587211) and next prime (361587269).

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 = 361587195 and 361587204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2426686 + ... + 2426834.

It is an arithmetic number, because the mean of its divisors is an integer number (4410450).

Almost surely, 2^361587240 is an apocalyptic number.

361587240 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 361587240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705672000).

361587240 is an abundant number, since it is smaller than the sum of its proper divisors (1049756760).

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

361587240 is a wasteful number, since it uses less digits than its factorization.

361587240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 361587240 is about 19015.4474046760. The cubic root of 361587240 is about 712.4226176348.

The spelling of 361587240 in words is "three hundred sixty-one million, five hundred eighty-seven thousand, two hundred forty".