61928064 has 192 divisors, whose sum is σ = 202718880. Its totient is φ = 18662400.

The previous prime is 61928057. The next prime is 61928077. The reversal of 61928064 is 46082916.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×61928064² = 7670170221576192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 342054 + ... + 342234.

Almost surely, 2^61928064 is an apocalyptic number.

61928064 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 61928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101359440).

61928064 is an abundant number, since it is smaller than the sum of its proper divisors (140790816).

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

61928064 is a wasteful number, since it uses less digits than its factorization.

61928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61928064 is about 7869.4386076772. The cubic root of 61928064 is about 395.6360292067.

The spelling of 61928064 in words is "sixty-one million, nine hundred twenty-eight thousand, sixty-four".