93642240 has 160 divisors (see below), whose sum is σ = 304935840. Its totient is φ = 24510464.

The previous prime is 93642233. The next prime is 93642277. The reversal of 93642240 is 4224639.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×93642240² = 17537738224435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 93642198 and 93642207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 683452 + ... + 683588.

It is an arithmetic number, because the mean of its divisors is an integer number (1905849).

Almost surely, 2^93642240 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 93642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152467920).

93642240 is an abundant number, since it is smaller than the sum of its proper divisors (211293600).

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

93642240 is a wasteful number, since it uses less digits than its factorization.

93642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 93642240 is about 9676.8920630541. The cubic root of 93642240 is about 454.1060255520.

Adding to 93642240 its reverse (4224639), we get a palindrome (97866879).

The spelling of 93642240 in words is "ninety-three million, six hundred forty-two thousand, two hundred forty".