66461124 has 48 divisors (see below), whose sum is σ = 157925376. Its totient is φ = 21751200.

The previous prime is 66461113. The next prime is 66461137. The reversal of 66461124 is 42116466.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6912) is a multiple of the sum of its prime factors (576).

It is a junction number, because it is equal to n+sod(n) for n = 66461091 and 66461100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245109 + ... + 245379.

It is an arithmetic number, because the mean of its divisors is an integer number (3290112).

Almost surely, 2^66461124 is an apocalyptic number.

It is an amenable number.

66461124 is an abundant number, since it is smaller than the sum of its proper divisors (91464252).

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

66461124 is a wasteful number, since it uses less digits than its factorization.

66461124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66461124 is about 8152.3692261820. The cubic root of 66461124 is about 405.0629866981.

The spelling of 66461124 in words is "sixty-six million, four hundred sixty-one thousand, one hundred twenty-four".