1166739840 has 384 divisors, whose sum is σ = 4849977600. Its totient is φ = 252481536.

The previous prime is 1166739817. The next prime is 1166739857. The reversal of 1166739840 is 489376611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1166739840² = 2722563708486451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 765319 + ... + 766841.

It is an arithmetic number, because the mean of its divisors is an integer number (12630150).

Almost surely, 2^1166739840 is an apocalyptic number.

1166739840 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 1166739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424988800).

1166739840 is an abundant number, since it is smaller than the sum of its proper divisors (3683237760).

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

1166739840 is a wasteful number, since it uses less digits than its factorization.

1166739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1166739840 is about 34157.5736843237. The cubic root of 1166739840 is about 1052.7486081534.

It can be divided in two parts, 116 and 6739840, that added together give a triangular number (6739956 = T₃₆₇₁).

The spelling of 1166739840 in words is "one billion, one hundred sixty-six million, seven hundred thirty-nine thousand, eight hundred forty".