61676400 has 120 divisors (see below), whose sum is σ = 199888000. Its totient is φ = 16254720.

The previous prime is 61676399. The next prime is 61676401. The reversal of 61676400 is 467616.

It is an interprime number because it is at equal distance from previous prime (61676399) and next prime (61676401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61676401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123351 + ... + 123849.

Almost surely, 2^61676400 is an apocalyptic number.

61676400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99944000).

61676400 is an abundant number, since it is smaller than the sum of its proper divisors (138211600).

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

61676400 is a wasteful number, since it uses less digits than its factorization.

61676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 61676400 is about 7853.4323706262. The cubic root of 61676400 is about 395.0993714629.

The spelling of 61676400 in words is "sixty-one million, six hundred seventy-six thousand, four hundred".