61976820 has 48 divisors (see below), whose sum is σ = 173916288. Its totient is φ = 16490880.

The previous prime is 61976807. The next prime is 61976839. The reversal of 61976820 is 2867916.

It is a super-2 number, since 2×61976820² = 7682252434624800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 37042 + ... + 38678.

It is an arithmetic number, because the mean of its divisors is an integer number (3623256).

Almost surely, 2^61976820 is an apocalyptic number.

61976820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61976820 is an abundant number, since it is smaller than the sum of its proper divisors (111939468).

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

61976820 is a wasteful number, since it uses less digits than its factorization.

61976820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 61976820 is about 7872.5358049360. The cubic root of 61976820 is about 395.7398301275.

The spelling of 61976820 in words is "sixty-one million, nine hundred seventy-six thousand, eight hundred twenty".