93414944 has 96 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 37041408.

The previous prime is 93414943. The next prime is 93414947. The reversal of 93414944 is 44941439.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 93414898 and 93414907.

It is not an unprimeable number, because it can be changed into a prime (93414941) 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, 199799 + ... + 200265.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^93414944 is an apocalyptic number.

93414944 is a gapful number since it is divisible by the number (94) 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 93414944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

93414944 is an abundant number, since it is smaller than the sum of its proper divisors (133022176).

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

93414944 is a wasteful number, since it uses less digits than its factorization.

93414944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 93414944 is about 9665.1406611596. The cubic root of 93414944 is about 453.7383136171.

It can be divided in two parts, 934 and 14944, that multiplied together give a square (13957696 = 3736²).

The spelling of 93414944 in words is "ninety-three million, four hundred fourteen thousand, nine hundred forty-four".