114872604 has 192 divisors, whose sum is σ = 362299392. Its totient is φ = 27417600.

The previous prime is 114872599. The next prime is 114872617. The reversal of 114872604 is 406278411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1115217 + ... + 1115319.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2^114872604 is an apocalyptic number.

114872604 is a gapful number since it is divisible by the number (14) 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 114872604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

114872604 is an abundant number, since it is smaller than the sum of its proper divisors (247426788).

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

114872604 is a wasteful number, since it uses less digits than its factorization.

114872604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 114872604 is about 10717.8637796904. The cubic root of 114872604 is about 486.1147758522.

The spelling of 114872604 in words is "one hundred fourteen million, eight hundred seventy-two thousand, six hundred four".