61436800 has 96 divisors (see below), whose sum is σ = 154432080. Its totient is φ = 24145920.

The previous prime is 61436779. The next prime is 61436803. The reversal of 61436800 is 863416.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61436803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233469 + ... + 233731.

Almost surely, 2^61436800 is an apocalyptic number.

61436800 is the 6400-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77216040).

61436800 is an abundant number, since it is smaller than the sum of its proper divisors (92995280).

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

61436800 is a wasteful number, since it uses less digits than its factorization.

61436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 61436800 is about 7838.1630501030. The cubic root of 61436800 is about 394.5870811848.

The spelling of 61436800 in words is "sixty-one million, four hundred thirty-six thousand, eight hundred".