61653280 has 48 divisors (see below), whose sum is σ = 156865464. Its totient is φ = 22763520.

The previous prime is 61653269. The next prime is 61653281. The reversal of 61653280 is 8235616.

It can be written as a sum of positive squares in 4 ways, for example, as 53056656 + 8596624 = 7284^2 + 2932^2 .

It is a super-2 number, since 2×61653280² = 7602253869516800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61653281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12741 + ... + 16900.

Almost surely, 2^61653280 is an apocalyptic number.

It is an amenable number.

61653280 is an abundant number, since it is smaller than the sum of its proper divisors (95212184).

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

61653280 is a wasteful number, since it uses less digits than its factorization.

61653280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29669 (or 29661 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 61653280 is about 7851.9602648001. The cubic root of 61653280 is about 395.0499963421.

Adding to 61653280 its reverse (8235616), we get a palindrome (69888896).

The spelling of 61653280 in words is "sixty-one million, six hundred fifty-three thousand, two hundred eighty".