61671624 has 64 divisors (see below), whose sum is σ = 178867200. Its totient is φ = 17354304.

The previous prime is 61671619. The next prime is 61671653. The reversal of 61671624 is 42617616.

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

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, 8517 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (2794800).

Almost surely, 2^61671624 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 61671624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89433600).

61671624 is an abundant number, since it is smaller than the sum of its proper divisors (117195576).

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

61671624 is a wasteful number, since it uses less digits than its factorization.

61671624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5558 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 61671624 is about 7853.1282938712. The cubic root of 61671624 is about 395.0891728386.

The spelling of 61671624 in words is "sixty-one million, six hundred seventy-one thousand, six hundred twenty-four".