61428480 has 144 divisors (see below), whose sum is σ = 207948384. Its totient is φ = 15400960.

The previous prime is 61428443. The next prime is 61428487. The reversal of 61428480 is 8482416.

It is a super-2 number, since 2×61428480² = 7546916310220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61428487) 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, 64810 + ... + 65750.

It is an arithmetic number, because the mean of its divisors is an integer number (1444086).

Almost surely, 2^61428480 is an apocalyptic number.

61428480 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 61428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103974192).

61428480 is an abundant number, since it is smaller than the sum of its proper divisors (146519904).

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

61428480 is a wasteful number, since it uses less digits than its factorization.

61428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 61428480 is about 7837.6322955342. The cubic root of 61428480 is about 394.5692682306.

The spelling of 61428480 in words is "sixty-one million, four hundred twenty-eight thousand, four hundred eighty".