61400416 has 48 divisors (see below), whose sum is σ = 150716160. Its totient is φ = 23921280.

The previous prime is 61400387. The next prime is 61400483.

61400416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61400416² = 7540022169946112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 9996 + ... + 14923.

It is an arithmetic number, because the mean of its divisors is an integer number (3139920).

Almost surely, 2^61400416 is an apocalyptic number.

It is an amenable number.

61400416 is an abundant number, since it is smaller than the sum of its proper divisors (89315744).

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

61400416 is a wasteful number, since it uses less digits than its factorization.

61400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24947 (or 24939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 61400416 is about 7835.8417544001. The cubic root of 61400416 is about 394.5091719004.

It can be divided in two parts, 61400 and 416, that added together give a palindrome (61816).

The spelling of 61400416 in words is "sixty-one million, four hundred thousand, four hundred sixteen".