61278976 has 72 divisors (see below), whose sum is σ = 136571904. Its totient is φ = 27202560.

The previous prime is 61278967. The next prime is 61278979. The reversal of 61278976 is 67987216.

It is a happy number.

It is a super-2 number, since 2×61278976² = 7510225799217152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61278979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132121 + ... + 132583.

It is an arithmetic number, because the mean of its divisors is an integer number (1896832).

Almost surely, 2^61278976 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 61278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68285952).

61278976 is an abundant number, since it is smaller than the sum of its proper divisors (75292928).

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

61278976 is a wasteful number, since it uses less digits than its factorization.

61278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 523 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 61278976 is about 7828.0889110945. The cubic root of 61278976 is about 394.2489086577.

The spelling of 61278976 in words is "sixty-one million, two hundred seventy-eight thousand, nine hundred seventy-six".