113511840 has 96 divisors (see below), whose sum is σ = 385088256. Its totient is φ = 27939840.

The previous prime is 113511823. The next prime is 113511841. The reversal of 113511840 is 48115311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113511840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113511841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2856 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (4011336).

Almost surely, 2^113511840 is an apocalyptic number.

113511840 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 113511840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192544128).

113511840 is an abundant number, since it is smaller than the sum of its proper divisors (271576416).

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

113511840 is a wasteful number, since it uses less digits than its factorization.

113511840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18222 (or 18214 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 113511840 is about 10654.1935405736. The cubic root of 113511840 is about 484.1876648577.

The spelling of 113511840 in words is "one hundred thirteen million, five hundred eleven thousand, eight hundred forty".