61626000 has 80 divisors (see below), whose sum is σ = 198701568. Its totient is φ = 16432000.

The previous prime is 61625989. The next prime is 61626011. The reversal of 61626000 is 62616.

It is an interprime number because it is at equal distance from previous prime (61625989) and next prime (61626011).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865 + ... + 11135.

Almost surely, 2^61626000 is an apocalyptic number.

61626000 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 61626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99350784).

61626000 is an abundant number, since it is smaller than the sum of its proper divisors (137075568).

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

61626000 is a wasteful number, since it uses less digits than its factorization.

61626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10297 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 61626000 is about 7850.2229267709. Note that the first 3 decimals coincide. The cubic root of 61626000 is about 394.9917212387.

Adding to 61626000 its reverse (62616), we get a palindrome (61688616).

The spelling of 61626000 in words is "sixty-one million, six hundred twenty-six thousand".