61378000 has 40 divisors (see below), whose sum is σ = 148416840. Its totient is φ = 24550400.

The previous prime is 61377997. The next prime is 61378043. The reversal of 61378000 is 87316.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 60279696 = 1048^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13345 + ... + 17344.

It is an arithmetic number, because the mean of its divisors is an integer number (3710421).

Almost surely, 2^61378000 is an apocalyptic number.

It is an amenable number.

61378000 is an abundant number, since it is smaller than the sum of its proper divisors (87038840).

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

61378000 is a wasteful number, since it uses less digits than its factorization.

61378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30712 (or 30696 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 61378000 is about 7834.4112733504. The cubic root of 61378000 is about 394.4611570575.

The spelling of 61378000 in words is "sixty-one million, three hundred seventy-eight thousand".