61657288 has 96 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 23587200.

The previous prime is 61657259. The next prime is 61657289. The reversal of 61657288 is 88275616.

Its product of digits (161280) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61657289) 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, 340558 + ... + 340738.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^61657288 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 61657288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

61657288 is an abundant number, since it is smaller than the sum of its proper divisors (87728312).

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

61657288 is a wasteful number, since it uses less digits than its factorization.

61657288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 61657288 is about 7852.2154835435. The cubic root of 61657288 is about 395.0585567197.

The spelling of 61657288 in words is "sixty-one million, six hundred fifty-seven thousand, two hundred eighty-eight".