610072992 has 96 divisors (see below), whose sum is σ = 1820871360. Its totient is φ = 198616320.

The previous prime is 610072973. The next prime is 610073003. The reversal of 610072992 is 299270016.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28942 + ... + 45362.

It is an arithmetic number, because the mean of its divisors is an integer number (18967410).

Almost surely, 2^610072992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910435680).

610072992 is an abundant number, since it is smaller than the sum of its proper divisors (1210798368).

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

610072992 is a wasteful number, since it uses less digits than its factorization.

610072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 610072992 is about 24699.6557061025. The cubic root of 610072992 is about 848.1264348088.

The spelling of 610072992 in words is "six hundred ten million, seventy-two thousand, nine hundred ninety-two".