61436400 has 60 divisors (see below), whose sum is σ = 196805112. Its totient is φ = 16382720.

The previous prime is 61436399. The next prime is 61436407. The reversal of 61436400 is 463416.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61436407) 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, 24399 + ... + 26798.

Almost surely, 2^61436400 is an apocalyptic number.

61436400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61436400 is an abundant number, since it is smaller than the sum of its proper divisors (135368712).

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

61436400 is a wasteful number, since it uses less digits than its factorization.

61436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51218 (or 51207 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 61436400 is about 7838.1375338788. The cubic root of 61436400 is about 394.5862248296.

Adding to 61436400 its reverse (463416), we get a palindrome (61899816).

The spelling of 61436400 in words is "sixty-one million, four hundred thirty-six thousand, four hundred".