61275456 has 168 divisors, whose sum is σ = 202082400. Its totient is φ = 17556480.

The previous prime is 61275433. The next prime is 61275457. The reversal of 61275456 is 65457216.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61275456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61275457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120130 + ... + 120638.

Almost surely, 2^61275456 is an apocalyptic number.

61275456 is a gapful number since it is divisible by the number (66) 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 61275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101041200).

61275456 is an abundant number, since it is smaller than the sum of its proper divisors (140806944).

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

61275456 is a wasteful number, since it uses less digits than its factorization.

61275456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 61275456 is about 7827.8640764898. The cubic root of 61275456 is about 394.2413596699.

The spelling of 61275456 in words is "sixty-one million, two hundred seventy-five thousand, four hundred fifty-six".