61011456 has 160 divisors (see below), whose sum is σ = 186202368. Its totient is φ = 17571840.

The previous prime is 61011437. The next prime is 61011469. The reversal of 61011456 is 65411016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388530 + ... + 388686.

Almost surely, 2^61011456 is an apocalyptic number.

61011456 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 61011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93101184).

61011456 is an abundant number, since it is smaller than the sum of its proper divisors (125190912).

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

61011456 is a wasteful number, since it uses less digits than its factorization.

61011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 61011456 is about 7810.9830367246. The cubic root of 61011456 is about 393.6743596703.

It can be divided in two parts, 6101 and 1456, that added together give a palindrome (7557).

The spelling of 61011456 in words is "sixty-one million, eleven thousand, four hundred fifty-six".