61982976 has 216 divisors, whose sum is σ = 195733440. Its totient is φ = 17346560.

The previous prime is 61982951. The next prime is 61983001. The reversal of 61982976 is 67928916.

It is an interprime number because it is at equal distance from previous prime (61982951) and next prime (61983001).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2137330 + ... + 2137358.

Almost surely, 2^61982976 is an apocalyptic number.

61982976 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 61982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

61982976 is an abundant number, since it is smaller than the sum of its proper divisors (133750464).

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

61982976 is a wasteful number, since it uses less digits than its factorization.

61982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 61982976 is about 7872.9267747135. The cubic root of 61982976 is about 395.7529323042.

The spelling of 61982976 in words is "sixty-one million, nine hundred eighty-two thousand, nine hundred seventy-six".