116949040 has 80 divisors (see below), whose sum is σ = 295293600. Its totient is φ = 42817536.

The previous prime is 116949037. The next prime is 116949059. The reversal of 116949040 is 40949611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 116948987 and 116949005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144156 + ... + 144964.

It is an arithmetic number, because the mean of its divisors is an integer number (3691170).

Almost surely, 2^116949040 is an apocalyptic number.

116949040 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 116949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147646800).

116949040 is an abundant number, since it is smaller than the sum of its proper divisors (178344560).

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

116949040 is a wasteful number, since it uses less digits than its factorization.

116949040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 116949040 is about 10814.2979430012. The cubic root of 116949040 is about 489.0263046532.

The spelling of 116949040 in words is "one hundred sixteen million, nine hundred forty-nine thousand, forty".