61420464 has 160 divisors (see below), whose sum is σ = 212288000. Its totient is φ = 16609536.

The previous prime is 61420459. The next prime is 61420477. The reversal of 61420464 is 46402416.

61420464 is a `hidden beast` number, since 614 + 2 + 0 + 46 + 4 = 666.

61420464 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 (27).

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 31 ways as a sum of consecutive naturals, for example, 56922 + ... + 57990.

It is an arithmetic number, because the mean of its divisors is an integer number (1326800).

Almost surely, 2^61420464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61420464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106144000).

61420464 is an abundant number, since it is smaller than the sum of its proper divisors (150867536).

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

61420464 is a wasteful number, since it uses less digits than its factorization.

61420464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 61420464 is about 7837.1208999224. The cubic root of 61420464 is about 394.5521046129.

The spelling of 61420464 in words is "sixty-one million, four hundred twenty thousand, four hundred sixty-four".