113768760 has 256 divisors, whose sum is σ = 427991040. Its totient is φ = 23592960.

The previous prime is 113768737. The next prime is 113768761. The reversal of 113768760 is 67867311.

113768760 = T₄₁₄ + T₄₁₅ + ... + T₉₀₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113768761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442552 + ... + 442808.

It is an arithmetic number, because the mean of its divisors is an integer number (1671840).

Almost surely, 2^113768760 is an apocalyptic number.

113768760 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 113768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213995520).

113768760 is an abundant number, since it is smaller than the sum of its proper divisors (314222280).

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

113768760 is a wasteful number, since it uses less digits than its factorization.

113768760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 113768760 is about 10666.2439499573. The cubic root of 113768760 is about 484.5526892167.

The spelling of 113768760 in words is "one hundred thirteen million, seven hundred sixty-eight thousand, seven hundred sixty".