61954000 has 40 divisors (see below), whose sum is σ = 149809608. Its totient is φ = 24780800.

The previous prime is 61953989. The next prime is 61954033. The reversal of 61954000 is 45916.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 60093504 = 1364^2 + 7752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 13489 + ... + 17488.

Almost surely, 2^61954000 is an apocalyptic number.

It is an amenable number.

61954000 is an abundant number, since it is smaller than the sum of its proper divisors (87855608).

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

61954000 is a wasteful number, since it uses less digits than its factorization.

61954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31000 (or 30984 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 61954000 is about 7871.0863290908. The cubic root of 61954000 is about 395.6912534095.

Adding to 61954000 its reverse (45916), we get a palindrome (61999916).

The spelling of 61954000 in words is "sixty-one million, nine hundred fifty-four thousand".