114802624 has 56 divisors (see below), whose sum is σ = 237213648. Its totient is φ = 55080960.

The previous prime is 114802621. The next prime is 114802643. The reversal of 114802624 is 426208411.

It is a junction number, because it is equal to n+sod(n) for n = 114802592 and 114802601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114802621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175482 + ... + 176134.

It is an arithmetic number, because the mean of its divisors is an integer number (4235958).

Almost surely, 2^114802624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114802624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118606824).

114802624 is an abundant number, since it is smaller than the sum of its proper divisors (122411024).

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

114802624 is an equidigital number, since it uses as much as digits as its factorization.

114802624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 114802624 is about 10714.5986392398. The cubic root of 114802624 is about 486.0160426436.

The spelling of 114802624 in words is "one hundred fourteen million, eight hundred two thousand, six hundred twenty-four".