61873632 has 144 divisors (see below), whose sum is σ = 186666480. Its totient is φ = 20155392.

The previous prime is 61873627. The next prime is 61873639. The reversal of 61873632 is 23637816.

It is a happy number.

61873632 is a `hidden beast` number, since 6 + 18 + 7 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (61873639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567594 + ... + 567702.

It is an arithmetic number, because the mean of its divisors is an integer number (1296295).

Almost surely, 2^61873632 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 61873632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93333240).

61873632 is an abundant number, since it is smaller than the sum of its proper divisors (124792848).

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

61873632 is a wasteful number, since it uses less digits than its factorization.

61873632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 61873632 is about 7865.9794050074. The cubic root of 61873632 is about 395.5200797672.

The spelling of 61873632 in words is "sixty-one million, eight hundred seventy-three thousand, six hundred thirty-two".