61552920 has 256 divisors, whose sum is σ = 230791680. Its totient is φ = 12902400.

The previous prime is 61552901. The next prime is 61552969. The reversal of 61552920 is 2925516.

It is a happy number.

61552920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291615 + ... + 291825.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 2^61552920 is an apocalyptic number.

61552920 is a gapful number since it is divisible by the number (60) 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 61552920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115395840).

61552920 is an abundant number, since it is smaller than the sum of its proper divisors (169238760).

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

61552920 is a wasteful number, since it uses less digits than its factorization.

61552920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 61552920 is about 7845.5669011232. The cubic root of 61552920 is about 394.8355241093.

It can be divided in two parts, 615 and 52920, that added together give a palindrome (53535).

The spelling of 61552920 in words is "sixty-one million, five hundred fifty-two thousand, nine hundred twenty".