61957800 has 72 divisors (see below), whose sum is σ = 208080990. Its totient is φ = 16521600.

The previous prime is 61957799. The next prime is 61957811. The reversal of 61957800 is 875916.

61957800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 59074596 + 2883204 = 7686^2 + 1698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15411 + ... + 19010.

Almost surely, 2^61957800 is an apocalyptic number.

61957800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61957800 is an abundant number, since it is smaller than the sum of its proper divisors (146123190).

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

61957800 is a wasteful number, since it uses less digits than its factorization.

61957800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34443 (or 34431 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 61957800 is about 7871.3277151952. The cubic root of 61957800 is about 395.6993432612.

The spelling of 61957800 in words is "sixty-one million, nine hundred fifty-seven thousand, eight hundred".