61590648 has 96 divisors (see below), whose sum is σ = 181560960. Its totient is φ = 17357760.

The previous prime is 61590637. The next prime is 61590701. The reversal of 61590648 is 84609516.

It is a super-3 number, since 3×61590648³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97293 + ... + 97923.

It is an arithmetic number, because the mean of its divisors is an integer number (1891260).

Almost surely, 2^61590648 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 61590648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90780480).

61590648 is an abundant number, since it is smaller than the sum of its proper divisors (119970312).

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

61590648 is a wasteful number, since it uses less digits than its factorization.

61590648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 61590648 is about 7847.9709479585. The cubic root of 61590648 is about 394.9161772675.

The spelling of 61590648 in words is "sixty-one million, five hundred ninety thousand, six hundred forty-eight".