61588992 has 80 divisors (see below), whose sum is σ = 166118832. Its totient is φ = 20275200.

The previous prime is 61588981. The next prime is 61589023. The reversal of 61588992 is 29988516.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 154938 + ... + 155334.

Almost surely, 2^61588992 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 61588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83059416).

61588992 is an abundant number, since it is smaller than the sum of its proper divisors (104529840).

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

61588992 is a wasteful number, since it uses less digits than its factorization.

61588992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 61588992 is about 7847.8654422715. The cubic root of 61588992 is about 394.9126378392.

The spelling of 61588992 in words is "sixty-one million, five hundred eighty-eight thousand, nine hundred ninety-two".