1162474560 has 336 divisors, whose sum is σ = 4385188080. Its totient is φ = 280903680.

The previous prime is 1162474553. The next prime is 1162474591. The reversal of 1162474560 is 654742611.

1162474560 is a `hidden beast` number, since 1 + 1 + 6 + 24 + 74 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 175509504 + 986965056 = 13248^2 + 31416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283586 + ... + 2284094.

It is an arithmetic number, because the mean of its divisors is an integer number (13051155).

Almost surely, 2^1162474560 is an apocalyptic number.

1162474560 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 1162474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192594040).

1162474560 is an abundant number, since it is smaller than the sum of its proper divisors (3222713520).

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

1162474560 is a wasteful number, since it uses less digits than its factorization.

1162474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

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

The square root of 1162474560 is about 34095.0811701629. The cubic root of 1162474560 is about 1051.4641885833.

The spelling of 1162474560 in words is "one billion, one hundred sixty-two million, four hundred seventy-four thousand, five hundred sixty".