61810400 has 36 divisors (see below), whose sum is σ = 150896592. Its totient is φ = 24723840.

The previous prime is 61810391. The next prime is 61810409. The reversal of 61810400 is 401816.

It is an interprime number because it is at equal distance from previous prime (61810391) and next prime (61810409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61810409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37832 + ... + 39431.

It is an arithmetic number, because the mean of its divisors is an integer number (4191572).

Almost surely, 2^61810400 is an apocalyptic number.

It is an amenable number.

61810400 is an abundant number, since it is smaller than the sum of its proper divisors (89086192).

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

61810400 is a wasteful number, since it uses less digits than its factorization.

61810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77283 (or 77270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 61810400 is about 7861.9590433937. The cubic root of 61810400 is about 395.3852994133.

The spelling of 61810400 in words is "sixty-one million, eight hundred ten thousand, four hundred".