61451456 has 56 divisors (see below), whose sum is σ = 136337040. Its totient is φ = 27238400.

The previous prime is 61451449. The next prime is 61451479. The reversal of 61451456 is 65415416.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27800 + ... + 29928.

It is an arithmetic number, because the mean of its divisors is an integer number (2434590).

Almost surely, 2^61451456 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 61451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68168520).

61451456 is an abundant number, since it is smaller than the sum of its proper divisors (74885584).

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

61451456 is a wasteful number, since it uses less digits than its factorization.

61451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2183 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 61451456 is about 7839.0979072850. The cubic root of 61451456 is about 394.6184554777.

The spelling of 61451456 in words is "sixty-one million, four hundred fifty-one thousand, four hundred fifty-six".