61653504 has 160 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 18022400.

The previous prime is 61653503. The next prime is 61653511. The reversal of 61653504 is 40535616.

It is not an unprimeable number, because it can be changed into a prime (61653503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692692 + ... + 692780.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^61653504 is an apocalyptic number.

61653504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61653504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

61653504 is an abundant number, since it is smaller than the sum of its proper divisors (123959616).

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

61653504 is a wasteful number, since it uses less digits than its factorization.

61653504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 61653504 is about 7851.9745287412. The cubic root of 61653504 is about 395.0504747761.

It can be divided in two parts, 6165 and 3504, that added together give a palindrome (9669).

The spelling of 61653504 in words is "sixty-one million, six hundred fifty-three thousand, five hundred four".