1161667752 has 128 divisors (see below), whose sum is σ = 3505920000. Its totient is φ = 313341696.

The previous prime is 1161667711. The next prime is 1161667757. The reversal of 1161667752 is 2577661611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1161667757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400874 + ... + 1401702.

It is an arithmetic number, because the mean of its divisors is an integer number (27390000).

Almost surely, 2^1161667752 is an apocalyptic number.

1161667752 is a gapful number since it is divisible by the number (12) 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 1161667752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752960000).

1161667752 is an abundant number, since it is smaller than the sum of its proper divisors (2344252248).

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

1161667752 is a wasteful number, since it uses less digits than its factorization.

1161667752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1299 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 1161667752 is about 34083.2473804947. The cubic root of 1161667752 is about 1051.2208782970.

The spelling of 1161667752 in words is "one billion, one hundred sixty-one million, six hundred sixty-seven thousand, seven hundred fifty-two".