93642480 has 120 divisors (see below), whose sum is σ = 326197872. Its totient is φ = 24966144.

The previous prime is 93642473. The next prime is 93642487. The reversal of 93642480 is 8424639.

It is a happy number.

93642480 is a `hidden beast` number, since 9 + 3 + 642 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (93642473) and next prime (93642487).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93642487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17032 + ... + 21848.

Almost surely, 2^93642480 is an apocalyptic number.

93642480 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 93642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163098936).

93642480 is an abundant number, since it is smaller than the sum of its proper divisors (232555392).

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

93642480 is a wasteful number, since it uses less digits than its factorization.

93642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 93642480 is about 9676.9044637219. The cubic root of 93642480 is about 454.1064135014.

The spelling of 93642480 in words is "ninety-three million, six hundred forty-two thousand, four hundred eighty".