1167553440 has 120 divisors (see below), whose sum is σ = 4120536420. Its totient is φ = 311344128.

The previous prime is 1167553423. The next prime is 1167553441. The reversal of 1167553440 is 443557611.

1167553440 is a `hidden beast` number, since 1 + 1 + 67 + 553 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1167178896 + 374544 = 34164^2 + 612^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1167553395 and 1167553404.

It is not an unprimeable number, because it can be changed into a prime (1167553441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32085 + ... + 58004.

Almost surely, 2^1167553440 is an apocalyptic number.

1167553440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1167553440 is an abundant number, since it is smaller than the sum of its proper divisors (2952982980).

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

1167553440 is an equidigital number, since it uses as much as digits as its factorization.

1167553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90116 (or 90099 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1167553440 is about 34169.4811198531. The cubic root of 1167553440 is about 1052.9932548817.

The spelling of 1167553440 in words is "one billion, one hundred sixty-seven million, five hundred fifty-three thousand, four hundred forty".