66462240 has 96 divisors (see below), whose sum is σ = 225481536. Its totient is φ = 16358400.

The previous prime is 66462223. The next prime is 66462269. The reversal of 66462240 is 4226466.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 66462198 and 66462207.

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, 915 + ... + 11565.

It is an arithmetic number, because the mean of its divisors is an integer number (2348766).

Almost surely, 2^66462240 is an apocalyptic number.

66462240 is a gapful number since it is divisible by the number (60) 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 66462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112740768).

66462240 is an abundant number, since it is smaller than the sum of its proper divisors (159019296).

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

66462240 is a wasteful number, since it uses less digits than its factorization.

66462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 66462240 is about 8152.4376722548. The cubic root of 66462240 is about 405.0652539271.

The spelling of 66462240 in words is "sixty-six million, four hundred sixty-two thousand, two hundred forty".