93724480 has 56 divisors (see below), whose sum is σ = 224604072. Its totient is φ = 37251072.

The previous prime is 93724469. The next prime is 93724507. The reversal of 93724480 is 8442739.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 72046144 = 4656^2 + 8488^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54514 + ... + 56206.

It is an arithmetic number, because the mean of its divisors is an integer number (4010787).

Almost surely, 2^93724480 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 93724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112302036).

93724480 is an abundant number, since it is smaller than the sum of its proper divisors (130879592).

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

93724480 is a wasteful number, since it uses less digits than its factorization.

93724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 93724480 is about 9681.1404286892. The cubic root of 93724480 is about 454.2389240961.

The spelling of 93724480 in words is "ninety-three million, seven hundred twenty-four thousand, four hundred eighty".