61290456 has 64 divisors (see below), whose sum is σ = 160185600. Its totient is φ = 19517568.

The previous prime is 61290433. The next prime is 61290479. The reversal of 61290456 is 65409216.

It is an interprime number because it is at equal distance from previous prime (61290433) and next prime (61290479).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74061 + ... + 74883.

It is an arithmetic number, because the mean of its divisors is an integer number (2502900).

Almost surely, 2^61290456 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 61290456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80092800).

61290456 is an abundant number, since it is smaller than the sum of its proper divisors (98895144).

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

61290456 is a wasteful number, since it uses less digits than its factorization.

61290456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 61290456 is about 7828.8221336290. The cubic root of 61290456 is about 394.2735266434.

The spelling of 61290456 in words is "sixty-one million, two hundred ninety thousand, four hundred fifty-six".