1185420240 has 120 divisors (see below), whose sum is σ = 4118385960. Its totient is φ = 305206272.

The previous prime is 1185420233. The next prime is 1185420307. The reversal of 1185420240 is 420245811.

1185420240 is a `hidden beast` number, since 118 + 542 + 0 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 1134611856 = 7128^2 + 33684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1185420240² = 2810442290803315200, which contains 22 as substring.

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, 7507 + ... + 49266.

It is an arithmetic number, because the mean of its divisors is an integer number (34319883).

Almost surely, 2^1185420240 is an apocalyptic number.

1185420240 is a gapful number since it is divisible by the number (10) 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 1185420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059192980).

1185420240 is an abundant number, since it is smaller than the sum of its proper divisors (2932965720).

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

1185420240 is a wasteful number, since it uses less digits than its factorization.

1185420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56821 (or 56812 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1185420240 is about 34429.9323263930. The cubic root of 1185420240 is about 1058.3373245280.

The spelling of 1185420240 in words is "one billion, one hundred eighty-five million, four hundred twenty thousand, two hundred forty".