93734820 has 96 divisors (see below), whose sum is σ = 295357440. Its totient is φ = 24984288.

The previous prime is 93734819. The next prime is 93734827. The reversal of 93734820 is 2843739.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (93734827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42669 + ... + 44811.

It is an arithmetic number, because the mean of its divisors is an integer number (3076640).

Almost surely, 2^93734820 is an apocalyptic number.

93734820 is a gapful number since it is divisible by the number (90) 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 93734820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147678720).

93734820 is an abundant number, since it is smaller than the sum of its proper divisors (201622620).

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

93734820 is a wasteful number, since it uses less digits than its factorization.

93734820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 93734820 is about 9681.6744419548. The cubic root of 93734820 is about 454.2556278707.

The spelling of 93734820 in words is "ninety-three million, seven hundred thirty-four thousand, eight hundred twenty".