61597280 has 48 divisors (see below), whose sum is σ = 146059200. Its totient is φ = 24548352.

The previous prime is 61597241. The next prime is 61597303. The reversal of 61597280 is 8279516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58196 + ... + 59244.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^61597280 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 61597280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73029600).

61597280 is an abundant number, since it is smaller than the sum of its proper divisors (84461920).

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

61597280 is a wasteful number, since it uses less digits than its factorization.

61597280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 61597280 is about 7848.3934661815. The cubic root of 61597280 is about 394.9303514437.

The spelling of 61597280 in words is "sixty-one million, five hundred ninety-seven thousand, two hundred eighty".