93561480 has 160 divisors (see below), whose sum is σ = 319904640. Its totient is φ = 24520320.

The previous prime is 93561473. The next prime is 93561487. The reversal of 93561480 is 8416539.

93561480 is a `hidden beast` number, since 9 + 35 + 614 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (93561473) and next prime (93561487).

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 (93561487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216865 + ... + 217295.

It is an arithmetic number, because the mean of its divisors is an integer number (1999404).

Almost surely, 2^93561480 is an apocalyptic number.

93561480 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 93561480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

93561480 is an abundant number, since it is smaller than the sum of its proper divisors (226343160).

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

93561480 is a wasteful number, since it uses less digits than its factorization.

93561480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 93561480 is about 9672.7183356076. The cubic root of 93561480 is about 453.9754429199.

The spelling of 93561480 in words is "ninety-three million, five hundred sixty-one thousand, four hundred eighty".