66354624 has 126 divisors (see below), whose sum is σ = 221339664. Its totient is φ = 18950400.

The previous prime is 66354623. The next prime is 66354643. The reversal of 66354624 is 42645366.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×66354624² = 8805872252362752, which contains 22 as substring.

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 (66354623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27049 + ... + 29399.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2^66354624 is an apocalyptic number.

66354624 is a gapful number since it is divisible by the number (64) 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 66354624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

66354624 is an abundant number, since it is smaller than the sum of its proper divisors (154985040).

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

66354624 is a wasteful number, since it uses less digits than its factorization.

66354624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2363 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 66354624 is about 8145.8347638532. The cubic root of 66354624 is about 404.8465079072.

The spelling of 66354624 in words is "sixty-six million, three hundred fifty-four thousand, six hundred twenty-four".