61528320 has 324 divisors, whose sum is σ = 249909660. Its totient is φ = 13934592.

The previous prime is 61528319. The next prime is 61528333. The reversal of 61528320 is 2382516.

61528320 is a `hidden beast` number, since 615 + 28 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 28901376 = 5712^2 + 5376^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564426 + ... + 564534.

Almost surely, 2^61528320 is an apocalyptic number.

61528320 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 61528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124954830).

61528320 is an abundant number, since it is smaller than the sum of its proper divisors (188381340).

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

61528320 is a wasteful number, since it uses less digits than its factorization.

61528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61528320 is about 7843.9989801121. The cubic root of 61528320 is about 394.7829176252.

The spelling of 61528320 in words is "sixty-one million, five hundred twenty-eight thousand, three hundred twenty".